Preferred Label : electron density function;
IUPAC definition : The electron probability distribution function, ρ, defined as \[\rho (\mathbf{r})
n\ \int \Psi {{*}}\left[\mathbf{r}(1),\mathbf{r}(2)\,{...}\,\mathbf{r}(n)\right]\
\Psi \left[\mathbf{r}(1),\mathbf{r}(2)\,{...}\,\mathbf{r}(n)\right]{d}\mathbf{r}(2)\,{...}\,{d}\mathbf{r}(n)\]
where Ψ is an electronic wave-function and integration is made over the coordinates
of all but the first electron of n. The physical interpretation of the electron density
function is that ρ d r gives the probability of finding an electron in a volume element
dr, i i.e /i ., electron density in this volume.;
Origin ID : ET07024;
See also
The electron probability distribution function, ρ, defined as \[\rho (\mathbf{r})
n\ \int \Psi {{*}}\left[\mathbf{r}(1),\mathbf{r}(2)\,{...}\,\mathbf{r}(n)\right]\
\Psi \left[\mathbf{r}(1),\mathbf{r}(2)\,{...}\,\mathbf{r}(n)\right]{d}\mathbf{r}(2)\,{...}\,{d}\mathbf{r}(n)\]
where Ψ is an electronic wave-function and integration is made over the coordinates
of all but the first electron of n. The physical interpretation of the electron density
function is that ρ d r gives the probability of finding an electron in a volume element
dr, i i.e /i ., electron density in this volume.
