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This page contains some preliminary results:

Below is a  variational Monte Carlo (VMC) calculation on LiH. The calculation ran for 10 million steps at an acceptance ratio of 0.5. The red line at  -8.037 Hartrees demarcates Mark Dewing's result. Note that the graph represents the data from a SINGLE RUN, showing the convergence of the energy to the desired results.  For this run, our code calculated the ground state energy of LiH to be -8.036 +/- 0.01 Hartrees.

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b

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wk

nk

cx

cy

Li

0

0

1.0358

1/1

0.8937

1.463

3.013

0

H

3.0

0

1.0358

1/1

0.568

0.414

0.01

0

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Below is a zero-temperature path integral Monte Carlo (ZTPIMC) on H3(I). The calculation ran for 6.5 million time steps at an acceptance ratio of 0.5. A time step of  t=0.025 and m = 4 links was used. The red line at -1.6581(3) Hartrees is the fixed node calculation published in reference [1]. Note that the graph represents the data from a SINGLE RUN, showing the convergence of the energy to the desired results. From this run, our code calculated the ground state energy of H3(I) to be -1.642 +/- 0.1 Hartree. Note that the large error bars are a result of an extremely large autocorrelation time of approximately 2000 steps.  This long autocorrelation results from the fact that we use only a simple displace move (in which each electron in each time slice is moved by a random amount in a random direction) to update our polymer chain.  Thus, we do not have sufficiently refined statistics to ascertain the validity of our results.

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H

-1.757

0

10.12

1/0

2.91

0

2.03

0

H

0

0

10.12

1/0

2.91

0

-2.03

0

H

+1.757

0

10.12

0/1

3.18

0

0

0

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For problems or questions regarding this web contact nromero@uiuc.edu.
Last updated: December 17, 1999.