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@ -78,11 +78,13 @@ al."_#Mickel, and these can be reproduced with this compute
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The optional keyword {wl} will output the third-order invariants {Wl}
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The optional keyword {wl} will output the third-order invariants {Wl}
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(see Eq. 1.4 in "Steinhardt"_#Steinhardt) for the same degrees as
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(see Eq. 1.4 in "Steinhardt"_#Steinhardt) for the same degrees as
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for the {Ql} parameters.
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for the {Ql} parameters. For the FCC crystal with {nnn} =12,
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{W}4 = -sqrt(14/143).(49/4096)/Pi^1.5 = -0.0006722136...
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The optional keyword {wl/hat} will output the third-order invariants
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The optional keyword {wl/hat} will output the normalized third-order
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normalized by {Ql^3} (see Eq. 2.2 in "Steinhardt"_#Steinhardt)
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invariants {Wlhat} (see Eq. 2.2 in "Steinhardt"_#Steinhardt)
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for the same degrees as for the {Ql} parameters. The numerical
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for the same degrees as for the {Ql} parameters. For the FCC crystal
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with {nnn} =12, {W}4hat = -7/3*sqrt(2/429) = -0.159317...The numerical
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values of {Wlhat} for a range of commonly encountered high-symmetry
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values of {Wlhat} for a range of commonly encountered high-symmetry
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structures are given in Table I of "Steinhardt"_#Steinhardt, and these
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structures are given in Table I of "Steinhardt"_#Steinhardt, and these
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can be reproduced with this keyword.
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can be reproduced with this keyword.
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@ -516,6 +516,7 @@ void ComputeOrientOrderAtom::calc_boop(double **rlist,
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// 8. [done] run valgrind
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// 8. [done] run valgrind
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// 9. [done] Add Wlhat
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// 9. [done] Add Wlhat
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// 10. Update memory_usage()
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// 10. Update memory_usage()
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// 11. Add exact FCC values for W_4, W_4_hat
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// calculate W_l
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// calculate W_l
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