Abstract
The long-range (nonretarded) van der Waals coefficients for two and three helium atoms are determined by an integration over imaginary frequencies of helium dynamic polarizabilities. An analytic form for the dynamic polarizability as a function of frequency is generated by the Pad\'e-approximant method from accurate numerical values calculated by Schwartz. The coefficient ${C}_{\mathrm{AB}}$ of the van der Waals energy (the $\ensuremath{-}{C}_{\mathrm{AB}}{{R}_{\mathrm{AB}}}^{\ensuremath{-}6}$ term) between two He atoms is calculated to be 1.460 a.u., and the coefficient ${D}_{\mathrm{ABC}}$ of the nonadditive contribution [the ${D}_{\mathrm{ABC}}(3 {cos\ensuremath{\theta}}_{A}{cos\ensuremath{\theta}}_{B}{cos\ensuremath{\theta}}_{C}+1) {{R}_{\mathrm{AB}}}^{\ensuremath{-}3}{{R}_{\mathrm{BC}}}^{\ensuremath{-}3}{{R}_{\mathrm{CA}}}^{\ensuremath{-}3}$ term] between three He atoms is calculated to be 1.481 a.u.
Keywords
van der Waals forcePolarizabilityPhysicsHeliumAtomic physicsVan der Waals strainVan der Waals radiusEnergy (signal processing)Van der Waals surfaceOrder (exchange)Quantum mechanicsMolecule
Affiliated Institutions
Related Publications
The Van Der Waals Forces in Gases
A calculation of van der Waal's potential of two atoms at large separation has been carried out for hydrogen and helium. The method depends upon a representation of the perturbe...
Refractive index of a dilute Bose gas
We derive the dispersion relation for the propagation of quasiresonant light with frequency ${\mathrm{\ensuremath{\omega}}}_{\mathit{L}}$ in an ultracold gas of bosonic atoms in...
The Dynamics of Capillary Flow
Penetration of Liquids into Cylindrical Capillaries.---The rate of penetration into a small capillary of radius $r$ is shown to be: $\frac{\mathrm{dl}}{\mathrm{dt}}=\frac{P({r}^...
Accurate Molecular Van Der Waals Interactions from Ground-State Electron Density and Free-Atom Reference Data
We present a parameter-free method for an accurate determination of long-range van der Waals interactions from mean-field electronic structure calculations. Our method relies on...
Correlation hole of the spin-polarized electron gas, with exact small-wave-vector and high-density scaling
For a uniform electron gas of density n=${\mathit{n}}_{\mathrm{\ensuremath{\uparrow}}}$+${\mathit{n}}_{\mathrm{\ensuremath{\downarrow}}}$=3/4\ensuremath{\pi}${\mathit{r}}_{\math...
Publication Info
- Year
- 1968
- Type
- article
- Volume
- 171
- Issue
- 1
- Pages
- 70-74
- Citations
- 43
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
43
OpenAlex
Cite This
K. T. Tang,
Martin Karplus
(1968).
Padé-Approximant Calculation of the Nonretarded van der Waals Coefficients for Two and Three Helium Atoms.
Physical Review
, 171
(1)
, 70-74.
https://doi.org/10.1103/physrev.171.70
Identifiers
- DOI
- 10.1103/physrev.171.70