Deduce the point group of all the isomers of difluoroethane.
CH3–CH2F2 (1,1-difluoroethane) and CH2F–CH2F (1,2-difluoroethane) are the constitutional isomers. Using internal rotation about C–C, the attainable symmetry is torsion-dependent. For 1,2-difluoroethane, the staggered anti conformer has a C2 axis along C–C and an inversion center at the ______ __________ _________ _______ _________ ________ _____ ________ _________.
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Calculate the probability for the electron to be found in the region r = a₀ to r = ∞ for 1s orbital of H atom. For 1s orbital the normalised wavefunction is defined as
ψ₁ₛ = (2/a₀³/²) exp(-r/a₀) (4)
(b) Show that [L̂², L̂ₓ] = [L̂², L̂y] = [L̂², L̂z] = 0
Which of the perturbation methods used gives a better estimate of the ground state energy of helium atom?
Formulate the spatial wavefunction for hydrogen molecule using the ground state wavefunction of hydrogen molecule ion.
Write down the molecular orbital configuration of B₂⁺ ion.
Sketch the wavefunction for the first excited state of a quantum harmonic oscillator.
Calculate the most probable distance, rₘₚ, of the electron from the nucleus in the ground state of hydrogen atom, given that the normalized ground state wave function is
Calculate H₀(ξ), H₁(ξ), H₂(ξ) by using following Rodrigue formula.
Hₙ(ξ) = (-1)ⁿe^(ξ²) (dⁿ/dξⁿ)(e⁻^(ξ²))