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The rate or spring constant of a spring is the change in the force it exerts, divided by An extension or compression spring has units of force divided by distance, law which states that the force a spring exerts is proportional to its extension.
The extension of a spring is in direct proportion with the load added to it as long as this load does not exceed the elastic limit.F = -kxwhereF is the restoring force exerted by the material (in SI units: N);x is the displacement of the end of the spring from its equilibrium position (in SI units: m);k is the force constant (or spring constant) (in SI units: N·m-1 or kgs-2).
Mathematically, Hooke's law states that: F = -kx, Where, x is the displacement of the end of the spring from its equilibrium position (in SI units: "m"); F is the restoring force exerted by the material (in SI units: "N" or kgms-2); and k is the force constant (or spring constant) (in SI units: "N·m-1" or "kgs-2").    
That is called the Spring Constant. It describes the amount of deformation of the spring, either stretch or compression, in units of distance deformed for each unit of force applied.
Not knowing what units you are using (is that newtons per meter? pounds per inch? gram-force per micron?), and what type of spring you are talking about, little can be said about that.
Hooke's law is not related to any "natural length". Rather, it defines a string constant: how much the string extends or compresses, depending on the applied force. In SI units, the spring constant would be measured in newton/meter.
The units are m-1 or per metre.
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The units for the gas constant of 0.0821 are liter-atmospheres/mole-Kelvin
the acid ionization constant (Ka) has no units
The units for Rydberg's constant are [L-1].
Unit of Phase constant is Radians per metre .