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Solid State Physics

Solid State Physics is the branch of physics that deals with the physical properties of solid materials, especially the electromagnetic, thermodynamic, and structural properties of crystalline solids.

813 Questions

Is Scherrer equation and Debye Scherrer equation are one and the same?

No, Scherrer equation and Debye-Scherrer equation are not the same. The Scherrer equation is used to estimate crystallite size in polycrystalline samples from X-ray diffraction data, while the Debye-Scherrer equation is used to relate the angles at which X-ray diffraction peaks occur to the crystal lattice spacing.

What is the specific heat capacity of freshwater?

The specific heat capacity of freshwater is approximately 4.18 Joules per gram per degree Celsius (J/g°C).

What are the particles in liquid solid and gas?

the particle arrangements of a liquid is that the particles and atoms are a bit separated from each other. In a solid, they are closely packed together. In a gas they have no particular particle arrangement and are very far apart.

What is conductivity of n type semiconductor?

What's the silicon doped with? Antimony? Arsenic? Phosphrus? And, much more importantly, how heavily is the silicon doped? Are there 1020 electrons per meter-3 or is 1025 electrons per meter-3 more the order of the day? Graphite is used as a conductor in some electrochemical cells. Processed and compressed graphite is used as brush material in electric motors. Without more information, the best answer that can be offered is a bit general. What is the electrical conductivity of n-type silicon graphite? Pretty good.

What does the letters stand for in the periodic table of elements?

Before you find what you're looking for in this list, I thought I should just let you know that the only letter you will not find in either the names of the elements or their chemical symbols is 'J'. Otherwise, happy finding :)

H - Hydrogen

Li - Lithium

Na - Sodium

K - Potassium

Rb - Rubidium

Cs - Caesium

Fr - Francium

Ra - Radium

Be - Beryllium

Mg - Magnesium

Ca - Calcium

Sr - Strontium

Ba - Barium

Ra - Radium

Sc - Scantium

Y - Yttrium

Lu - Lutetium

Lr - Lawrencium

Ti - Titanium

Zr - Zirconium

Hf - Hafnium

Rf - Rutherfordium

V - Vanadium

Nb - Nibium

Ta - Tantalum

Cr - Chromium

Mo - Molybdenum

W - Tungsten

Sg - Seaborgium

Mn - Magnese

Tc - Technetium

Re - Rhenium

Bh - Bohrium

Fe - Iron

Ru - Ruthenium

Os - Osmium

Hs - Hassium

Co - Cobalt

Rh - Rhodium

Ir - Iridium

Mt - Meitnerium

Ni - Nickle

Pd - Palladium

Pt - Platinum

Ds - Darmstadtium

Cu - Copper

Ag - Silver

Au - Gold

Rg - Roentgenium

Zn - Zinc

Cd - Cadmium

Hg - Mercury

Uub - Unumbium

B - Boron

Al - Aluminium

Ga - Gallium

In - Indium

Tl - Thallium

C - Carbon

Si - Silicon

Ge - Germanium

Sn - Tin

Pb - Lead

N - Nitrogen

P - Phosphorus

As - Arsenic

Sb - Antimony

Bi - Bismuth

O - Oxygen S - Sulphur Se - Selenium

Te - Tellurium

Po - Polonim

F - Flourine

Cl - Chlorine

Br - Bromine

I - Iodine

At - Astatine

He - Helium

Ne - Neon

Ar - Argon

Kr - Krypton

Xe - Xenon

Rn - Radon La - Lanthanum Ac - Actinium Ce - Cerium

Th - Thorium Pr - Praseodymium

Pa - Proactinium

Nd - Neodymium

U - Uranium Pm - Promethium

Np - Neptunium

Sm - Samarium Pu - Plutonium

Eu - Europium

Am - Americium

Gd - Gadolinium

Cm - Curium

Tb - Terbium

Bk - Berkelium

Dy - Dysprosium

Cf - Californium

Ho - Holmium

Es - Einsteinium

Er - Erbium Fm - Fermium

Tm - Thulium

Md - Mendelevium

Yb - Ytterbium

No - Nobelium Uuu - Unununium

Uun - Ununnilium Uut - Ununtrium Uuq - Ununquadium Uup - Ununpentium Uuh - Ununhexium Uus - Ununseptium Uuo - Ununoctium Uue - Ununennium Unb - Unbinilium

Why does a hot liquid in a jar dent the metal lid?

When hot liquid is added to a jar, it heats the air trapped inside the jar. As the air expands, it creates pressure which pushes against the metal lid, causing it to buckle or dent. This is due to the difference in pressure between the inside and outside of the jar.

Is the sun a solid or a liquid or a gaseous?

The sun's core is a mixture of solid and liquid. Like the Earth, the sun's core is melted rock. There is not much solid, but there is LOTS of melted, liquid rock!

P.S. If you aren't sure, I wouldn't recommend checking for yourself. :D LOL!

What are amorphous solids made of?

All amorphous solids are composed of particles with no crystalline structure that has any sort of periodicity, the most common of which, perhaps, is glass. This means that the particles have no ordered arrangement.

This is opposed to crystalline solids which do have a well defined periodicity and have long range order.

When will there be laser beams in battle?

Laser beams are already used in some military applications, primarily for target designation, range finding, and missile guidance. However, the use of laser weapons in battle is still limited due to technical challenges such as power requirements, beam divergence, and atmospheric interference. Research and development into laser weapon systems are ongoing, but widespread deployment in combat situations is not yet common.

What is the difference between working principle of XRF and XRD?

XRD and XRF are highly complementary

materials analysis methods which, when used

together, greatly improve the accuracy of

phase identification and quantitative analysis.

The combination of both methods provides an

increase in the numbers of measured parameters,

which means that fewer assumptions are needed

for analysis. This in turn provides not only greater

accuracy of results, but also increases the range

of samples that can be measured to include

samples about which little or nothing is known in

advance.

XRD is the most direct and accurate analytical

method for determining the presence and

absolute amounts of mineral species in a sample.

Ambiguous results may be obtained however, if

the sample chemistry and/or origin are unknown.

In these cases phase identification can be difficult;

in particular, isostructural phases with similar

chemical composition will give similar powder

diffraction patterns.

In contrast to XRD, XRF provides highly accurate

information about the elemental composition

of a sample, but it cannot deliver direct phase

information. Mass-balance calculations may give

sufficient phase information in some cases, but

can also lead to meaningless results e.g. in the

presence of polymorphs.

It is the complimentary nature of the XRD and

XRFmethods which makes them a valuable

tool for quantitative phase analysis in numerous

applications ranging from scientific research

to industrial high-throughput quality control.

Particularily in mineralogical and geological

application areas, the combined use of XRD and

XRF is booming, offering completely new insights

into materials and processes. Typical examples

are the cement, minerals & mining, and industrial

minerals industries, where the quality of products

and / or efficiency of processes is governed by

both phase and elemental composition. The

combined use of XRD and XRF methods allows

the reliable analysis of materials, for which the

individual methods fail to deliver accurate and

reliable results.

Page 2

Quantitative phase and element analysis of

host/waste rocks and tailings is an important

application in the minerals and mining industry

with respect to both process optimization (e.g.

acid leaching) and environmental protection:

Mining and milling operations are responsible

for the production of billions of tonnes of waste

rock and finely crushed tailings worldwide. An

important application is the knowledge of the

relative amounts of the minerals with acid-

producing or neutralization potential for successful

acid-base accounting with respect to both the

leaching process as well as acid mine drainage,

with its detrimental effects on environment.

As an example, we report combined XRD-XRF

analysis of an intrusive rock with unknown

composition. Of particular interest was its

classification by mineral content as well as

the detection and accurate quantification of

potentially present minerals with significant acid-

producing or neutralization potential.

Powder diffraction data were recorded using a

D4 ENDEAVOR powder diffractometer equipped

with a LynxEye

TM

detector (Fig. 1); the total

measurement time required was about 5 minutes.

For phase identification and quantification,

the DIFFRAC

plus

software packages EVA,

SEARCH and TOPAS were used. Standardless

XRFmeasurements on the same sample were

performed with the S4 PIONEER and the

SPECTRA

plus

software (Fig. 1).

Fig. 1: D4 ENDEAVOR diffractometer (right)

and S4 PIONEER spectrometer (left) connected

with conveyer belt. The D4 is equipped with

Super Speed LynxEye

TM

detector.

Fig. 2: EVA phase identification results.

1) Phase identification

Fig. 2 and Tab. 1 show the XRD powder data and

the phase identification results. The major rock

forming minerals plagioclase, quartz, diopside

and muscovite are easily and correctly identified

in a single default run. Note, that the highly

sensitive SEARCH algorithm clearly prefers albite

(Na-plagioclase) versus anorthite (Ca-plagioclase)

as a result of the slightly different lattice

parameters of both plagioclase solid solution

end members. Best SEARCH figure-of-merits

obtained for the individual phases were 0.65 and

1.48, respectively. Neither ore minerals nor any

K-feldspars or feldspathoids could be detected.

Tab. 1: EVA phase identification results.

SS-VVV-PPPP

Compound Name

00-009-0466 (*)

Albite

00-041-1480 (I)

Albite, calcian

03-065-0466 (C)

Quartz low, syn

01-087-0700 (C)

Diopside, syn

01-089-5402 (C)

Muscovite 2M1

Page 3

Fig. 3: EVA combined XRD-XRF results -

comparison of calculated (column "SQD") versus

observed (column "XRF") element concentrations.

The difference is given in column "Delta".

2) Combined XRD-XRF analysis

To confirm the phase identification results,

and to obtain semi-quantitative phase amount

estimates consistent with the actual elemental

composition of the sample, combined XRD-XRF

analysis has been performed with EVA. EVA

enables semi-quantitative analysis based on the

reference-intensity-ratio (RIR) method using both

XRD as well as XRFdata simultaneously: On

scaling the maximum intensities of the ICDD PDF

patterns to the observed peaks in the powder

pattern, EVA calculates both phase and element

concentrations, and compares the latter with the

actually measured element concentrations.

Element concentrations as obtained by XRF and

used by EVA are provided in Tab. 2. Already at

first glance, the XRF data fully confirm the absence

of any significant acid-producing ore minerals

due to the minor concentrations found for heavy

elements and the absence of sulphur.

Tab. 2: Element concentrations [%] as obtained by XRF.

Oxygen

47.7

Silicon

30.0

Aluminum 9.75

Sodium

6.1

Calcium

3.66

Magnesium 0.456

Iron

1.35

Potassium

0.271

Phosphorus 0.114

Chlorine

0.0445

Titanium

0.252

Manganese 0.0173

Cobalt

0.0182

Nickel

0.0142

Strontium

0.0595

Zirconium

0.0143

Barium

0.0258

Wolfram

0.101

The results for combined XRD-XRF analysis with

EVA are shown in Fig. 3 and Tab. 3. The high Na

vs. Ca concentrations confirm the presence of Na-

plagioclase as found by XRD (diopside accounts

for about 60% of the total Ca, as calculated

by EVA). The present Na-plagioclase is most

successfully modelled using two albite phases

with different Ca amounts. Note the excellent

agreement found between the calculated and

observed element concentrations, which is better

than 1% for all elements, and therefore confirms

the correctness of the XRD phase identification

results for all phases.

The accuracy of the RIR method is limited by

several factors such as preferred orientation

effects and the quality of the ICDD PDF data used

(e.g. quality of relative intensities, I/Icor values,

idealized chemical formula).

Tab. 3: EVA semi-quantitative phase analysis

results based on combined XRD-XRF using

reference intensities as given in the ICDD PDF

patterns.

SS-VVV-PPPP

Compound Name

Phase

amounts

00-009-0466 (*)

Albite

58.2%

00-041-1480 (I)

Albite, calcian

15.4%

03-065-0466 (C) Quartz low, syn

14.0%

01-087-0700 (C) Diopside, syn

9.9%

01-089-5402 (C) Muscovite 2M1

2.6%

The most accurate quantitative results will be

obtained from a TOPAS Rietveld refinement. The

combined XRD-XRF results obtained are of high

value for defining the refinement model.

Page 4

BRUKER AXS, INC.

5465 EAST ChERYL pARKwAY

MADISON, wI 53711-5373

USA

TEL. (+1) (800) 234-XRAY

TEL. (+1) (608) 276-3000

FAX (+1) (608) 276-3006

EMAIL info@bruker-axs.com

www.bruker-axs.com

All configurations and specifications are subject to change without notice. Order No. L88-E00058. © 2006 BRUKER AXS GmbH. Printed in Germany.

BRUKER AXS GMBh

OESTLIChE RhEINBRUECKENSTR. 49

D-76187 KARLSRUhE

GERMANY

TEL. (+49) (0)(721)595-2888

FAX (+49) (0)(721)595-4587

EMAIL info@bruker-axs.de

www.bruker-axs.de

BRUKER AXS K.K

3-9-A, MORIYA, KANAGAwA

YOKOhAMA, KANAGAwA 221-0022

JApAN

TEL. (+81) 45 453 1963

FAX (+81) 45 440 0757

www.bruker-axs.com

3) Quantitative TOPAS refinement

Quantitative Rietveld analysis has been

performed using TOPAS, the results are shown

in Fig. 4 and Tab. 4. For the final refinement

two Na-plagioclases with different compositions

have been used to model the data to take the

elemental analysis results into account: Albite (0%

Ca) and Oligoclase (25% Ca).

From the results in Tab. 4 the following

conclusions can be drawn:

1. The sample can be unambiguously classified as

a quartzdiorite according to Streckeisen, see Fig. 5.

2. Combined XRD-XRF analysis and TOPAS

Rietveld refinement can allow a distinction of even

neighboring plagioclase solid solution members

(here albite and oligoclase) if present in sufficient

amounts.

The present sample can be characterised as

a rock with insignificant acid producing or

neutralisation potential. Remarkable is the easy

and reliable determination of the plagioclase type

for estimation of the neutralisation potential. This

ability is of particular interest, as anorthite has

an about 14x higher neutralisation potential than

albite (e.g. Jambor et al., 2002).

Fig. 4: Quantitative TOPAS refinement results.

Tab. 4: Quantitative TOPAS refinement results.

Compound Name

Phase amounts

Albite

49.6%

Oligoclase

30.5%

Quartz

9.9%

Diopside

8.8%

Muscovite

1.2%

Fig. 5: Streckeisen diagram for intrusive rocks.

Q: quartz, A: alkali-feldspar, P: plagioclase.

Reference

J.L. Jambor, J.E. Dutrizac, L.A. Groat, M. Raudsepp.

Environmental Geology (2002) 43, 1-17.

Q

A

P

granite

grano-

diorite

quartz-rich

granodiorite

quartz-

syenite

quartz-

monzonite

quartz-

monzo-

diorite

quartz-

diorite

tonalite

XRD and XRF are highly complementary

materials analysis methods which, when used

together, greatly improve the accuracy of

phase identification and quantitative analysis.

The combination of both methods provides an

increase in the numbers of measured parameters,

which means that fewer assumptions are needed

for analysis. This in turn provides not only greater

accuracy of results, but also increases the range

of samples that can be measured to include

samples about which little or nothing is known in

advance.

XRD is the most direct and accurate analytical

method for determining the presence and

absolute amounts of mineral species in a sample.

Ambiguous results may be obtained however, if

the sample chemistry and/or origin are unknown.

In these cases phase identification can be difficult;

in particular, isostructural phases with similar

chemical composition will give similar powder

diffraction patterns.

In contrast to XRD, XRF provides highly accurate

information about the elemental composition

of a sample, but it cannot deliver direct phase

information. Mass-balance calculations may give

sufficient phase information in some cases, but

can also lead to meaningless results e.g. in the

presence of polymorphs.

It is the complimentary nature of the XRD and

XRFmethods which makes them a valuable

tool for quantitative phase analysis in numerous

applications ranging from scientific research

to industrial high-throughput quality control.

Particularily in mineralogical and geological

application areas, the combined use of XRD and

XRF is booming, offering completely new insights

into materials and processes. Typical examples

are the cement, minerals & mining, and industrial

minerals industries, where the quality of products

and / or efficiency of processes is governed by

both phase and elemental composition. The

combined use of XRD and XRF methods allows

the reliable analysis of materials, for which the

individual methods fail to deliver accurate and

reliable results.

Page 2

Quantitative phase and element analysis of

host/waste rocks and tailings is an important

application in the minerals and mining industry

with respect to both process optimization (e.g.

acid leaching) and environmental protection:

Mining and milling operations are responsible

for the production of billions of tonnes of waste

rock and finely crushed tailings worldwide. An

important application is the knowledge of the

relative amounts of the minerals with acid-

producing or neutralization potential for successful

acid-base accounting with respect to both the

leaching process as well as acid mine drainage,

with its detrimental effects on environment.

As an example, we report combined XRD-XRF

analysis of an intrusive rock with unknown

composition. Of particular interest was its

classification by mineral content as well as

the detection and accurate quantification of

potentially present minerals with significant acid-

producing or neutralization potential.

Powder diffraction data were recorded using a

D4 ENDEAVOR powder diffractometer equipped

with a LynxEye

TM

detector (Fig. 1); the total

measurement time required was about 5 minutes.

For phase identification and quantification,

the DIFFRAC

plus

software packages EVA,

SEARCH and TOPAS were used. Standardless

XRFmeasurements on the same sample were

performed with the S4 PIONEER and the

SPECTRA

plus

software (Fig. 1).

Fig. 1: D4 ENDEAVOR diffractometer (right)

and S4 PIONEER spectrometer (left) connected

with conveyer belt. The D4 is equipped with

Super Speed LynxEye

TM

detector.

Fig. 2: EVA phase identification results.

1) Phase identification

Fig. 2 and Tab. 1 show the XRD powder data and

the phase identification results. The major rock

forming minerals plagioclase, quartz, diopside

and muscovite are easily and correctly identified

in a single default run. Note, that the highly

sensitive SEARCH algorithm clearly prefers albite

(Na-plagioclase) versus anorthite (Ca-plagioclase)

as a result of the slightly different lattice

parameters of both plagioclase solid solution

end members. Best SEARCH figure-of-merits

obtained for the individual phases were 0.65 and

1.48, respectively. Neither ore minerals nor any

K-feldspars or feldspathoids could be detected.

Tab. 1: EVA phase identification results.

SS-VVV-PPPP

Compound Name

00-009-0466 (*)

Albite

00-041-1480 (I)

Albite, calcian

03-065-0466 (C)

Quartz low, syn

01-087-0700 (C)

Diopside, syn

01-089-5402 (C)

Muscovite 2M1

Page 3

Fig. 3: EVA combined XRD-XRF results -

comparison of calculated (column "SQD") versus

observed (column "XRF") element concentrations.

The difference is given in column "Delta".

2) Combined XRD-XRF analysis

To confirm the phase identification results,

and to obtain semi-quantitative phase amount

estimates consistent with the actual elemental

composition of the sample, combined XRD-XRF

analysis has been performed with EVA. EVA

enables semi-quantitative analysis based on the

reference-intensity-ratio (RIR) method using both

XRD as well as XRFdata simultaneously: On

scaling the maximum intensities of the ICDD PDF

patterns to the observed peaks in the powder

pattern, EVA calculates both phase and element

concentrations, and compares the latter with the

actually measured element concentrations.

Element concentrations as obtained by XRF and

used by EVA are provided in Tab. 2. Already at

first glance, the XRF data fully confirm the absence

of any significant acid-producing ore minerals

due to the minor concentrations found for heavy

elements and the absence of sulphur.

Tab. 2: Element concentrations [%] as obtained by XRF.

Oxygen

47.7

Silicon

30.0

Aluminum 9.75

Sodium

6.1

Calcium

3.66

Magnesium 0.456

Iron

1.35

Potassium

0.271

Phosphorus 0.114

Chlorine

0.0445

Titanium

0.252

Manganese 0.0173

Cobalt

0.0182

Nickel

0.0142

Strontium

0.0595

Zirconium

0.0143

Barium

0.0258

Wolfram

0.101

The results for combined XRD-XRF analysis with

EVA are shown in Fig. 3 and Tab. 3. The high Na

vs. Ca concentrations confirm the presence of Na-

plagioclase as found by XRD (diopside accounts

for about 60% of the total Ca, as calculated

by EVA). The present Na-plagioclase is most

successfully modelled using two albite phases

with different Ca amounts. Note the excellent

agreement found between the calculated and

observed element concentrations, which is better

than 1% for all elements, and therefore confirms

the correctness of the XRD phase identification

results for all phases.

The accuracy of the RIR method is limited by

several factors such as preferred orientation

effects and the quality of the ICDD PDF data used

(e.g. quality of relative intensities, I/Icor values,

idealized chemical formula).

Tab. 3: EVA semi-quantitative phase analysis

results based on combined XRD-XRF using

reference intensities as given in the ICDD PDF

patterns.

SS-VVV-PPPP

Compound Name

Phase

amounts

00-009-0466 (*)

Albite

58.2%

00-041-1480 (I)

Albite, calcian

15.4%

03-065-0466 (C) Quartz low, syn

14.0%

01-087-0700 (C) Diopside, syn

9.9%

01-089-5402 (C) Muscovite 2M1

2.6%

The most accurate quantitative results will be

obtained from a TOPAS Rietveld refinement. The

combined XRD-XRF results obtained are of high

value for defining the refinement model.

Page 4

BRUKER AXS, INC.

5465 EAST ChERYL pARKwAY

MADISON, wI 53711-5373

USA

TEL. (+1) (800) 234-XRAY

TEL. (+1) (608) 276-3000

FAX (+1) (608) 276-3006

EMAIL info@bruker-axs.com

www.bruker-axs.com

All configurations and specifications are subject to change without notice. Order No. L88-E00058. © 2006 BRUKER AXS GmbH. Printed in Germany.

BRUKER AXS GMBh

OESTLIChE RhEINBRUECKENSTR. 49

D-76187 KARLSRUhE

GERMANY

TEL. (+49) (0)(721)595-2888

FAX (+49) (0)(721)595-4587

EMAIL info@bruker-axs.de

www.bruker-axs.de

BRUKER AXS K.K

3-9-A, MORIYA, KANAGAwA

YOKOhAMA, KANAGAwA 221-0022

JApAN

TEL. (+81) 45 453 1963

FAX (+81) 45 440 0757

www.bruker-axs.com

3) Quantitative TOPAS refinement

Quantitative Rietveld analysis has been

performed using TOPAS, the results are shown

in Fig. 4 and Tab. 4. For the final refinement

two Na-plagioclases with different compositions

have been used to model the data to take the

elemental analysis results into account: Albite (0%

Ca) and Oligoclase (25% Ca).

From the results in Tab. 4 the following

conclusions can be drawn:

1. The sample can be unambiguously classified as

a quartzdiorite according to Streckeisen, see Fig. 5.

2. Combined XRD-XRF analysis and TOPAS

Rietveld refinement can allow a distinction of even

neighboring plagioclase solid solution members

(here albite and oligoclase) if present in sufficient

amounts.

The present sample can be characterised as

a rock with insignificant acid producing or

neutralisation potential. Remarkable is the easy

and reliable determination of the plagioclase type

for estimation of the neutralisation potential. This

ability is of particular interest, as anorthite has

an about 14x higher neutralisation potential than

albite (e.g. Jambor et al., 2002).

Fig. 4: Quantitative TOPAS refinement results.

Tab. 4: Quantitative TOPAS refinement results.

Compound Name

Phase amounts

Albite

49.6%

Oligoclase

30.5%

Quartz

9.9%

Diopside

8.8%

Muscovite

1.2%

Fig. 5: Streckeisen diagram for intrusive rocks.

Q: quartz, A: alkali-feldspar, P: plagioclase.

Reference

J.L. Jambor, J.E. Dutrizac, L.A. Groat, M. Raudsepp.

Environmental Geology (2002) 43, 1-17.

Q

A

P

granite

grano-

diorite

quartz-rich

granodiorite

quartz-

syenite

quartz-

monzonite

quartz-

monzo-

diorite

quartz-

diorite

tonalite

XRD and XRF are highly complementary

materials analysis methods which, when used

together, greatly improve the accuracy of

phase identification and quantitative analysis.

The combination of both methods provides an

increase in the numbers of measured parameters,

which means that fewer assumptions are needed

for analysis. This in turn provides not only greater

accuracy of results, but also increases the range

of samples that can be measured to include

samples about which little or nothing is known in

advance.

XRD is the most direct and accurate analytical

method for determining the presence and

absolute amounts of mineral species in a sample.

Ambiguous results may be obtained however, if

the sample chemistry and/or origin are unknown.

In these cases phase identification can be difficult;

in particular, isostructural phases with similar

chemical composition will give similar powder

diffraction patterns.

In contrast to XRD, XRF provides highly accurate

information about the elemental composition

of a sample, but it cannot deliver direct phase

information. Mass-balance calculations may give

sufficient phase information in some cases, but

can also lead to meaningless results e.g. in the

presence of polymorphs.

It is the complimentary nature of the XRD and

XRFmethods which makes them a valuable

tool for quantitative phase analysis in numerous

applications ranging from scientific research

to industrial high-throughput quality control.

Particularily in mineralogical and geological

application areas, the combined use of XRD and

XRF is booming, offering completely new insights

into materials and processes. Typical examples

are the cement, minerals & mining, and industrial

minerals industries, where the quality of products

and / or efficiency of processes is governed by

both phase and elemental composition. The

combined use of XRD and XRF methods allows

the reliable analysis of materials, for which the

individual methods fail to deliver accurate and

reliable results.

Page 2

Quantitative phase and element analysis of

host/waste rocks and tailings is an important

application in the minerals and mining industry

with respect to both process optimization (e.g.

acid leaching) and environmental protection:

Mining and milling operations are responsible

for the production of billions of tonnes of waste

rock and finely crushed tailings worldwide. An

important application is the knowledge of the

relative amounts of the minerals with acid-

producing or neutralization potential for successful

acid-base accounting with respect to both the

leaching process as well as acid mine drainage,

with its detrimental effects on environment.

As an example, we report combined XRD-XRF

analysis of an intrusive rock with unknown

composition. Of particular interest was its

classification by mineral content as well as

the detection and accurate quantification of

potentially present minerals with significant acid-

producing or neutralization potential.

Powder diffraction data were recorded using a

D4 ENDEAVOR powder diffractometer equipped

with a LynxEye

TM

detector (Fig. 1); the total

measurement time required was about 5 minutes.

For phase identification and quantification,

the DIFFRAC

plus

software packages EVA,

SEARCH and TOPAS were used. Standardless

XRFmeasurements on the same sample were

performed with the S4 PIONEER and the

SPECTRA

plus

software (Fig. 1).

Fig. 1: D4 ENDEAVOR diffractometer (right)

and S4 PIONEER spectrometer (left) connected

with conveyer belt. The D4 is equipped with

Super Speed LynxEye

TM

detector.

Fig. 2: EVA phase identification results.

1) Phase identification

Fig. 2 and Tab. 1 show the XRD powder data and

the phase identification results. The major rock

forming minerals plagioclase, quartz, diopside

and muscovite are easily and correctly identified

in a single default run. Note, that the highly

sensitive SEARCH algorithm clearly prefers albite

(Na-plagioclase) versus anorthite (Ca-plagioclase)

as a result of the slightly different lattice

parameters of both plagioclase solid solution

end members. Best SEARCH figure-of-merits

obtained for the individual phases were 0.65 and

1.48, respectively. Neither ore minerals nor any

K-feldspars or feldspathoids could be detected.

Tab. 1: EVA phase identification results.

SS-VVV-PPPP

Compound Name

00-009-0466 (*)

Albite

00-041-1480 (I)

Albite, calcian

03-065-0466 (C)

Quartz low, syn

01-087-0700 (C)

Diopside, syn

01-089-5402 (C)

Muscovite 2M1

Page 3

Fig. 3: EVA combined XRD-XRF results -

comparison of calculated (column "SQD") versus

observed (column "XRF") element concentrations.

The difference is given in column "Delta".

2) Combined XRD-XRF analysis

To confirm the phase identification results,

and to obtain semi-quantitative phase amount

estimates consistent with the actual elemental

composition of the sample, combined XRD-XRF

analysis has been performed with EVA. EVA

enables semi-quantitative analysis based on the

reference-intensity-ratio (RIR) method using both

XRD as well as XRFdata simultaneously: On

scaling the maximum intensities of the ICDD PDF

patterns to the observed peaks in the powder

pattern, EVA calculates both phase and element

concentrations, and compares the latter with the

actually measured element concentrations.

Element concentrations as obtained by XRF and

used by EVA are provided in Tab. 2. Already at

first glance, the XRF data fully confirm the absence

of any significant acid-producing ore minerals

due to the minor concentrations found for heavy

elements and the absence of sulphur.

Tab. 2: Element concentrations [%] as obtained by XRF.

Oxygen

47.7

Silicon

30.0

Aluminum 9.75

Sodium

6.1

Calcium

3.66

Magnesium 0.456

Iron

1.35

Potassium

0.271

Phosphorus 0.114

Chlorine

0.0445

Titanium

0.252

Manganese 0.0173

Cobalt

0.0182

Nickel

0.0142

Strontium

0.0595

Zirconium

0.0143

Barium

0.0258

Wolfram

0.101

The results for combined XRD-XRF analysis with

EVA are shown in Fig. 3 and Tab. 3. The high Na

vs. Ca concentrations confirm the presence of Na-

plagioclase as found by XRD (diopside accounts

for about 60% of the total Ca, as calculated

by EVA). The present Na-plagioclase is most

successfully modelled using two albite phases

with different Ca amounts. Note the excellent

agreement found between the calculated and

observed element concentrations, which is better

than 1% for all elements, and therefore confirms

the correctness of the XRD phase identification

results for all phases.

The accuracy of the RIR method is limited by

several factors such as preferred orientation

effects and the quality of the ICDD PDF data used

(e.g. quality of relative intensities, I/Icor values,

idealized chemical formula).

Tab. 3: EVA semi-quantitative phase analysis

results based on combined XRD-XRF using

reference intensities as given in the ICDD PDF

patterns.

SS-VVV-PPPP

Compound Name

Phase

amounts

00-009-0466 (*)

Albite

58.2%

00-041-1480 (I)

Albite, calcian

15.4%

03-065-0466 (C) Quartz low, syn

14.0%

01-087-0700 (C) Diopside, syn

9.9%

01-089-5402 (C) Muscovite 2M1

2.6%

The most accurate quantitative results will be

obtained from a TOPAS Rietveld refinement. The

combined XRD-XRF results obtained are of high

value for defining the refinement model.

Page 4

BRUKER AXS, INC.

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3) Quantitative TOPAS refinement

Quantitative Rietveld analysis has been

performed using TOPAS, the results are shown

in Fig. 4 and Tab. 4. For the final refinement

two Na-plagioclases with different compositions

have been used to model the data to take the

elemental analysis results into account: Albite (0%

Ca) and Oligoclase (25% Ca).

From the results in Tab. 4 the following

conclusions can be drawn:

1. The sample can be unambiguously classified as

a quartzdiorite according to Streckeisen, see Fig. 5.

2. Combined XRD-XRF analysis and TOPAS

Rietveld refinement can allow a distinction of even

neighboring plagioclase solid solution members

(here albite and oligoclase) if present in sufficient

amounts.

The present sample can be characterised as

a rock with insignificant acid producing or

neutralisation potential. Remarkable is the easy

and reliable determination of the plagioclase type

for estimation of the neutralisation potential. This

ability is of particular interest, as anorthite has

an about 14x higher neutralisation potential than

albite (e.g. Jambor et al., 2002).

Fig. 4: Quantitative TOPAS refinement results.

Tab. 4: Quantitative TOPAS refinement results.

Compound Name

Phase amounts

Albite

49.6%

Oligoclase

30.5%

Quartz

9.9%

Diopside

8.8%

Muscovite

1.2%

Fig. 5: Streckeisen diagram for intrusive rocks.

Q: quartz, A: alkali-feldspar, P: plagioclase.

Reference

J.L. Jambor, J.E. Dutrizac, L.A. Groat, M. Raudsepp.

Environmental Geology (2002) 43, 1-17.

Q

A

P

granite

grano-

diorite

quartz-rich

granodiorite

quartz-

syenite

quartz-

monzonite

quartz-

monzo-

diorite

quartz-

diorite

tonalite

XRD- provides most direct analytical methol for determining presence and absolute amounts of minerals species in sample. XRD can also identify phases

XRF- provides direct information about chemical composition but cannot deliver direct phase information. Mass-balance calculations can be deducted but may lead to useless results in the presence of a polymorph.

How a gas is converted to liquid?

Advances in recent years have shown that there are even more efficient and cleaner ways to use biomass. It can be converted into liquid fuels, for example, or "cooked" in a process called "gasification" to produce combustible gases, which reduces various kinds of emissions from biomass combustion, especially particulates.

Does the crystalline structure affects the transparency of a material?

The type of crystal structure doesn't affect the transparency. For example a body centered cubic structure is no more and no less transparent than a hexagonal close packed structure. However if the block of substance is a mess of many crystal structures stuck together in no coherent order then yes it does affect the transparency.

Transparency is more dependent on the chemical bonds and the particular light that they absorb. These bond energies are unaffected (ok maybe slightly affected) by the particular crystal structure they find themselves in.

Crystal structure however does have a big influence on the index of refraction of light. You can have left refraction, right refration or even both at the same time depending on the crystal structure.

What type of electromagnetic wave has the highest velocity?

Gamma waves have the highest frequency (and energy) of all the electromagnetic waves.

Gamma Ray Bursts (GRB) from outer space (and that's about all we know of them!) have extraordinary high energies, and hence frequencies.

What is it called When melted rock becomes solid?

When melted rock solidifies, it forms an igneous rock. This process is known as crystallization.

Why cant the particles of a solid move away from each other?

Atoms and molecules in a solid have very little space between them and there is usually a strong bonding force between them. So, the particles of a solid are locked in place.

Atoms and molecules in a solid do move and the normal process is called diffusion. It is a slow process compared to movement of molecules in a gas or liquid.

There are several key features which determine the diffusivity of particles in a material. First is temperature, since the kinetic energy of each particle is proportional to temperature and hence the speed is higher at higher temperature. Second is the nature of the attraction between particles. If particles are electronically bonded or if there is a strong ionic attraction, the the energy necessary to break two particles apart may be very high and if the kinetic energy (due to temperature) is much lower than the binding energy of the constituent particles, there is little chance they will separate. Most normal solids, like glass, ice, salt, iron and others, have a binding that is much stronger than anything that can be overcome by normal human temperature. Obviously, all of these materials can be heated to a melting point, at which time the kinetic energy is near enough to the binding energy that movement substantially increases.

Solid state diffusion has another important component and that is the space available for the movement of the constituent particles. Even with relatively weak binding forces, a particle may be inhibited from moving simply because the adjacent particles are packed so tightly together that there is no easy or unobstructed path. It was demonstrated long ago that even idealized hard spheres will solidify at high density and in that case there is no attraction at all and the diffusion drops greatly at the point of solidification.

Is a door key an insulator?

If door knob is a metal then it is conductor if not like wood then insulator.

What state of matter is a balloon?

Gas... bubbles are formed when water (or another liquid substance) are heated up and then turned to gas. When water on a fire heats up at the bottom of a container that water turns to gas before the water at the top. Since gas is lighter than water it rises in the form of a bubble and pops at the surface.

So bubbles are in the state of gas, surrounded or covered by a 'membrane' (a thin cover) of liquid

What is the time period of a pendulum which oscillates 40 times in 4 seconds?

Period of a pendulum (T) in Seconds is:

T = 2 * PI * (L/g)1/2

L = Length of Pendulum in Meters

g = Acceleration due to gravity = 9.81 m/s2

PI = 3.14

The period is independent of the mass or travel (angle) of the pendulum.

The frequency (f) of a pendulum in Hertz is the inverse of the Period.

f = 1/T

Which set of properties best describes a solid?

A solid has a definite shape and volume, strong intermolecular forces, and particles that are closely packed and arranged in an organized manner. Unlike liquids and gases, solids maintain their shape and do not flow or take the shape of their container.

What is meant by Tana position?

The Tana position refers to a certain stance or posture used in yoga where the practitioner kneels down and sits back on their heels with the tops of their feet flat on the ground. It is often used in various yoga poses and can help improve flexibility in the hips and ankles.

Is LED a monochromatic light?

No, LED stands for light-emitting diode, which can produce a range of colors depending on the materials used in the diode. While some LEDs emit a single color (monochromatic), many are designed to emit multiple colors.

Can only metals be used to make a solar cell?

No. You could make a solar cell out of any chemical that has a positive photo-reaction. However metals (and more importantly, combinations of metals) have the greatest half-cell potentials that make exploiting light induced ionization potentials particularly easy in the solar cell realm of business.

What do you call the resting position where the bar rests?

The resting position where the bar rests in weightlifting is called the "rack position."

What are 8 properties of matter?

It has non-zero (finite) mass and volume. hardness, state, malleability, ductility, melting point, boiling point, crystal form, solubility, viscosity, and density and... texture, luster, vapor pressure, odor (this is, arguably, a chemical property, too), dimensions, temperature