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			'''Molar refractivity''', <math>A</math>, is a measure of the total [[polarizability]] of a [[mole (unit)\|mole]] of a substance and is dependent on the [[temperature]], the [[index of refraction]], and the [[pressure]].

			The molar refractivity is defined as
			:<math> A = \frac{4 \pi}{3} N_A \alpha, </math>
			where <math>N_A \approx 6.022 \times 10^{23}</math> is the [[Avogadro constant]] and <math>\alpha</math> is the mean [[polarizability]] of a molecule.

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			:<math> A = \frac{R T}{p} \frac{n^2 - 1}{n^2 + 2} </math>

			For a gas, <math>n^2 \approx 1</math>, so the molar refractivity can be approximated by
			:<math>A = \frac{R T}{p} \frac{n^2 - 1}{3}.</math>

			In [[SI]] units, <math>R</math> has units of J mol<sup>−1</sup> K<sup>−1</sup>, <math>T</math> has units K, <math>n</math> has no units, and <math>p</math> has units of Pa, so the units of <math>A</math> are m<sup>3</sup> mol<sup>−1</sup>.

			In terms of [[density]], ρ [[molecular weight]], M it can be shown that:
			:<math>A = \frac{M}{\rho} \frac{n^2 - 1}{n^2 + 2} \approx \frac{M}{\rho} \frac{n^2 - 1}{3}.</math>

			==References==

			* [[Max Born\|Born, Max]], and Wolf, Emil, ''Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light'' (7th ed.), section 2.3.3, Cambridge University Press (1999) ISBN 0-521-64222-1

			[[Category:Physical chemistry]]
			[[Category:Physical optics]]

en>Helpful Pixie Bot: ISBNs (Build KH)

2012-05-11T23:05:15Z

ISBNs (Build KH)

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