Analysis show that nickel oxide consists of nickel ion with $$96$$% ions having $$d8$$ configuration and $$4$$% having $$d7$$ configuration. Which amongst the following best represents the formula of the oxide?

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Ni $$=$$ $$3d84s2$$ (At$$. no. : $$28), ∴ $$Ni2+=3d8$$ and $$Ni3+=3d7Hence$$, $$96$$% ion of $$Ni2+$$ and $$4$$% ions of $$Ni3+$$ are present. Let number of $$O2-$$ ion present in the crystal $$=$$ x. Applying electroneutrality rule, Total positive charge $$=$$ Total negative charge $$96$$ x $$2$$ $$(+ve$$ $$charge)$$ $$=$$ $$4$$ x $$3$$ $$(+ve$$ $$charge)$$                                  $$=$$ x × $$2$$ $$(-ve$$ $$charge)$$ $$96$$ x $$2$$ $$+$$ $$4$$ x $$3$$ $$-$$ $$2x$$ $$=$$ $$0$$ ∴x $$=$$ $$1.02$$ So formula of crystal $$Ni1.00O1.02$$ or $$Ni0.98O1.00$$

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