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Yes, it is possible to make such semiconductors.

Semiconductors made from group III and V elements use hexavalent or divalent impurities.

Example of such semiconductors are Aluminium Phosphide, Aluminium Arsenide, Gallium Arsenide, Gallium Nitride.

In these cases,

Donor atoms are Selenium, Tellurium, Silicon, Germanium and

Acceptor atoms are Beryllium, Zinc, Cadmium, Silicon, Germanium

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