Keywords: user

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Subsections

- 19.1 `MAXITER` -- Maximum number of iterations
- 19.2 `THRESH` -- Convergence threshold
- 19.3 `TOL2E` -- integral screening threshold
- 19.4 `DIISBAS` -- DIIS subspace dimension
- 19.5 `FREEZE` -- Freezing orbitals
- 19.6 `IPRT` -- Debug printing
- 19.7 PRINT and NOPRINT
- 19.8 Methods (Tasks) Recognized
- 19.9 Debugging and Development Aids
  - 19.9.1 Switching On and Off Terms

# 19. Coupled Cluster Calculations

The NWChem coupled cluster energy module is primarily the work of Alistair Rendell and Rika Kobayashi, with contributions from David Bernholdt.

The coupled cluster code can perform calculations with full iterative treatment of single and double excitations and non-iterative inclusion of triple excitation effects. It is presently limited to closed-shell (RHF) references.

Note that symmetry is not used within most of the CCSD(T) code. This can have a profound impact on performance since the speed-up from symmetry is roughly the square of the number of irreducible representations. In the absence of symmetry, the performance of this code is competitive with other programs.

The operation of the coupled cluster code is controlled by the input block

      CCSD
        [MAXITER <integer maxiter default 20>]
        [THRESH  <real thresh default 10e-6>]
        [TOL2E <real tol2e default min(10e-12 , 0.01*$thresh$)>]
        [DIISBAS  <integer diisbas default 5>]
        [FREEZE [[core] (atomic || <integer nfzc default 0>)] \
                [virtual <integer nfzv default 0>]]
        [IPRT  <integer IPRT default 0>]
        [PRINT ...]
        [NOPRINT ...]
      END

Note that the keyword `CCSD` is used for the input block regardless of the actual level of theory desired (specified with the `TASK` directive). The following directives are recognized within the `CCSD` group.

# 19.1 `MAXITER` -- Maximum number of iterations

The maximum number of iterations is set to 20 by default. This should be quite enough for most calculations, although particularly troublesome cases may require more.

      MAXITER  <integer maxiter default 20>

# 19.2 `THRESH` -- Convergence threshold

Controls the convergence threshold for the iterative part of the calculation. Both the RMS error in the amplitudes and the change in energy must be less than `thresh`.

      THRESH  <real thresh default 10e-6>

# 19.3 `TOL2E` -- integral screening threshold

      TOL2E <real tol2e default min(10e-12 , 0.01*$thresh$)>

The variable `tol2e` is used in determining the integral screening threshold for the evaluation of the energy and related quantities.

CAUTION! At the present time, the `tol2e` parameter only affects the three- and four-virtual contributions, and the triples, all of which are done ``on the fly''. The transformations used for the other parts of the code currently have a hard-wired threshold of . The default for `tol2e` is set to match this, and since user input can only make the threshold smaller, setting this parameter can only make calculations take longer.

# 19.4 `DIISBAS` -- DIIS subspace dimension

Specifies the maximum size of the subspace used in DIIS convergence acceleration. Note that DIIS requires the amplitudes and errors be stored for each iteration in the subspace. Obviously this can significantly increase memory requirements, and could force the user to reduce `DIISBAS` for large calculations.

Measures to alleviate this problem, including more compact storage of the quantities involved, and the possibility of disk storage are being considered, but have not yet been implemented.

      DIISBAS  <integer diisbas default 5>

# 19.5 `FREEZE` -- Freezing orbitals

        [FREEZE [[core] (atomic || <integer nfzc default 0>)] \
                [virtual <integer nfzv default 0>]]

This directive is idential to that used in the MP2 module, Section 16.1.

# 19.6 `IPRT` -- Debug printing

This directive controls the level of output from the code, mostly to facilitate debugging and the like. The larger the value, the more output printed. From looking at the source code, the interesting values seem to be `IPRT` 5, 10, and 50.

      IPRT  <integer IPRT default 0>

# 19.7 PRINT and NOPRINT

The coupled cluster module supports the standard NWChem print control keywords, although very little in the code is actually hooked into this mechanism yet.

Item | Print Level | Description
``reference'' | high | Wavefunction information
``guess pair energies'' | debug | MP2 pair energies
``byproduct energies'' | default | Intermediate energies
``term debugging switches'' | debug | Switches for individual terms

# 19.8 Methods (Tasks) Recognized

Currently available methods are

- `CCSD` - Full iterative inclusion of single and double excitations
- `CCSD+T(CCSD)` - The fourth order triples contribution computed with converged singles and doubles amplitudes
- `CCSD(T)` - The linearized triples approximation due to Raghavachari.

The calculation is invoked using the the `TASK` directive, so to perform a CCSD+T(CCSD) calculation, for example, the input file should include the directive

      TASK CCSD+T(CCSD)

Lower-level results which come as by-products (such as MP3/MP4) of the requested calculation are generally also printed in the output file and stored on the run-time database, but the method specified in the `TASK` directive is considered the primary result.

# 19.9 Debugging and Development Aids

The information in this section is intended for use by experts (both with the methodology and with the code), primarily for debugging and development work. Messing with stuff in listed in this section will probably make your calculation quantitatively wrong! Consider yourself warned!

## 19.9.1 Switching On and Off Terms

The `/DEBUG/` common block contains a number of arrays which control the calculation of particular terms in the program. These are 15-element integer arrays (although from the code only a few elements actually effect anything) which can be set from the input deck. See the code for details of how the arrays are interpreted.

Printing of this data at run-time is controlled by the `"term debugging switches"` print option. The values are checked against the defaults at run-time and a warning is printed to draw attention to the fact that the calculation does not correspond precisely to the requested method.

      DOA  <integer array default 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2>
      DOB  <integer array default 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2>
      DOG  <integer array default 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1>
      DOH  <integer array default 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1>
      DOJK <integer array default 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2>
      DOS  <integer array default 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1>
      DOD  <integer array default 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1>

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