:math:`g_{AB}(r)` between particles of type :math:`A` and :math:`B` is
defined in the following way:
-.. math::
-
- \begin{array}{rcl}
- g_{AB}(r)&=& {\displaystyle \frac{\langle \rho_B(r) \rangle}{\langle\rho_B\rangle_{local}}} \\
- &=& {\displaystyle \frac{1}{\langle\rho_B\rangle_{local}}}{\displaystyle \frac{1}{N_A}}
- \sum_{i \in A}^{N_A} \sum_{j \in B}^{N_B}
- {\displaystyle \frac{\delta( r_{ij} - r )}{4 \pi r^2}} \\
- \end{array}
+.. math:: \begin{array}{rcl}
+ g_{AB}(r)&=& {\displaystyle \frac{\langle \rho_B(r) \rangle}{\langle\rho_B\rangle_{local}}} \\
+ &=& {\displaystyle \frac{1}{\langle\rho_B\rangle_{local}}}{\displaystyle \frac{1}{N_A}}
+ \sum_{i \in A}^{N_A} \sum_{j \in B}^{N_B}
+ {\displaystyle \frac{\delta( r_{ij} - r )}{4 \pi r^2}} \\
+ \end{array}
+ :label: eqnrdfdefine
with :math:`\langle\rho_B(r)\rangle` the particle density of type
:math:`B` at a distance :math:`r` around particles :math:`A`, and
is defined with respect to a certain laboratory axis :math:`{\bf e}`,
see :numref:`Fig. %s <fig-rdfex>` B.
-.. math::
+.. math:: g_{AB}(r,\theta) = {1 \over \langle\rho_B\rangle_{local,\:\theta }}
+ {1 \over N_A} \sum_{i \in A}^{N_A} \sum_{j \in B}^{N_B} {\delta( r_{ij} - r )
+ \delta(\theta_{ij} -\theta) \over 2 \pi r^2 sin(\theta)}
+ :label: eqnrdfangleaxis1
- \begin{aligned}
- g_{AB}(r,\theta) &=& {1 \over \langle\rho_B\rangle_{local,\:\theta }} {1 \over N_A} \sum_{i \in A}^{N_A} \sum_{j \in B}^{N_B} {\delta( r_{ij} - r ) \delta(\theta_{ij} -\theta) \over 2 \pi r^2 sin(\theta)}\\
- cos(\theta_{ij}) &=& {{\bf r}_{ij} \cdot {\bf e} \over \|r_{ij}\| \;\| e\| }\end{aligned}
+.. math:: cos(\theta_{ij}) = {{\bf r}_{ij} \cdot {\bf e} \over \|r_{ij}\| \;\| e\| }
+ :label: eqnrdfangleaxis2
This :math:`g_{AB}(r,\theta)` is useful for analyzing anisotropic
systems. **Note** that in this case the normalization