2015
DOI: 10.1021/ct501155k
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Removing External Degrees of Freedom from Transition-State Search Methods using Quaternions

Abstract: In finite systems, such as nanoparticles and gas-phase molecules, calculations of minimum energy paths (MEPs) connecting initial and final states of transitions as well as searches for saddle points are complicated by the presence of external degrees of freedom, such as overall translation and rotation. A method based on quaternion algebra for removing the external degrees of freedom is described here and applied in calculations using two commonly used methods: the nudged elastic band (NEB) method for MEPs and… Show more

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Cited by 26 publications
(22 citation statements)
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References 26 publications
(75 reference statements)
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“…The system will seek to avoid high energy areas and hence rotate and/or translate away from these, which is not possible to the same extent for a constrained system. The NEB module supports the NEB-TR [87] method, which speeds up convergence for such systems by removing rotation and translation movement.…”
Section: Constraintsmentioning
confidence: 99%
“…The system will seek to avoid high energy areas and hence rotate and/or translate away from these, which is not possible to the same extent for a constrained system. The NEB module supports the NEB-TR [87] method, which speeds up convergence for such systems by removing rotation and translation movement.…”
Section: Constraintsmentioning
confidence: 99%
“…[117,118] The optimizers are implemented as described by Herbol with support for the removal of translation and rotation from the images, which has been shown to be crucial for successful optimizations. [119,120] Improved TS guesses can be obtained by using a CI [121,122] with one and two CIs being supported. After a few optimization cycles, the highest energy image (HEI) can be converted to a CI.…”
Section: Chain-of-states Methodsmentioning
confidence: 99%
“…Dissociation pathways were calculated using the climbing image nudged elastic band method (CI-NEB) [37,38]. The concept of varying spring constants and quaternion based rotation-translation removal, as described in Ref.…”
Section: Methodsmentioning
confidence: 99%