A strong absorption band in the infrared region of the electromagnetic spectrum is observed at widetildeν=1298 cm⁻¹ for ⁴⁰ Ca/ ¹ H. Assuming that the harmonic potential applies, calculate the fundamental frequency ν in units of inverse seconds, the vibrational period in seconds, and the zero point energy for the molecule in joules and electron-volts.
a) 3.87 × 10¹³ s⁻¹, 2.58 × 10⁻¹⁴ s, 2.03 × 10⁻²⁰ J, 1.27 × 10⁻¹³ eV
b) 2.58 × 10¹³ s⁻¹, 3.87 × 10⁻¹⁴ s, 1.27 × 10⁻²⁰ J, 2.03 × 10⁻¹³ eV
c) 2.58 × 10¹³ s⁻¹, 3.87 × 10⁻¹⁴ s, 2.03 × 10⁻²⁰ J, 1.27 × 10⁻¹³ eV
d) 3.87 × 10¹³ s⁻¹, 2.58 × 10⁻¹⁴ s, 1.27 × 10⁻²⁰ J, 2.03 × 10⁻¹³ eV