Note

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CISDT

Restricts the active space to single-electron, double-electron, and triple-electron excitations for configuration interaction calculations (i.e. Configuration Interaction Singles, Doubles, and Triples).

Number of configurations for \(n\) doubly-occupied orbitals and \(m\) empty orbitals

excitation type

# of configs

none (RHF ground state)

\(1\)

1 \(\alpha\) electron

\(m n\)

1 \(\beta\) electron

\(m n\)

1 \(\alpha\) electron & 1 \(\beta\) electron

\(m^2 n^2\)

2 \(\alpha\) electrons

\(m (m-1) n (n-1)/4\)

2 \(\beta\) electrons

\(m (m-1) n (n-1)/4\)

1 \(\alpha\) electron & 2 \(\beta\) electrons

\(m^2 (m-1) n^2 (n-1)/4\)

2 \(\alpha\) electrons & 1 \(\beta\) electron

\(m^2 (m-1) n^2 (n-1)/4\)

3 \(\alpha\) electrons

\(m(m-1)(m-2)n(n-1)(n-2)/36\)

3 \(\beta\) electrons

\(m(m-1)(m-2)n(n-1)(n-2)/36\)