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. Author manuscript; available in PMC: 2017 Sep 25.

Published in final edited form as: J Phys Chem A. 2015 Dec 1;119(49):11862–11874. doi: 10.1021/acs.jpca.5b10067

Table 2. Equations for the most common types of scattering in ROA.

K is a term related to the experimental setup, proportional to the fourth power of the scattered energy, c is the speed of light.

Scattering	I^R − I^L	I^R + I^L
Δ_SCP(0°)	$\frac{8 K}{c} [90 α G^{'} + 2 β {(G^{'})}^{2} - 2 β {(A)}^{2}]$	4K[45α² + 7β(α)²]
$Δ_{SCP}^{x} (90^{\circ})$	$\frac{4 K}{c} [45 α G^{'} + 7 β {(G^{'})}^{2} + β {(A)}^{2}]$	2K[45α² + 7β(α)²]
$Δ_{SCP}^{*} (90^{\circ})$	$\frac{40 K}{3 c} [9 α G^{'} + 2 β {(G^{'})}^{2}]$	$\frac{20 K}{3} [9 α^{2} + 2 β {(α)}^{2}]$
$Δ_{SCP}^{z} (90^{\circ})$	$\frac{8 K}{c} [3 β {(G^{'})}^{2} - β {(A)}^{2}]$	4K[3β(α)²]
Δ_SCP(180°)	$\frac{8 K}{c} [12 β {(G^{'})}^{2} + 4 β {(A)}^{2}]$	4K[45α² + 7β(α)²]
Δ_{DCP_I}(180°)	$\frac{16 K}{c} [6 β {(G^{'})}^{2} + 2 β {(A)}^{2}]$	24Kβ(α)²