Interpretation:
The absorption frequency for
Concept introduction:
An absorption band consists of a range of the energy and the wavelength in the
Answer to Problem 16.3QAP
The absorption frequency corresponding to the
The calculated value lies near to the range found in the correlation charts.
The absorption frequency for
Explanation of Solution
The expression for the wave number is:
Here, the velocity of light is
The expression for the reduced mass is:
Here, mass of the carbon atom is
Substitute
Substitute
Thus, the absorption frequency corresponding to the
The absorption frequency of
The expression for the wave number is:
The expression for the reduced mass is:
Here, mass the mass of the hydrogen atom is
Substitute
Substitute
Thus, the absorption frequency for
The absorption frequency corresponding to the
The calculated value lies near to the range found in the correlation charts.
The absorption frequency for
Want to see more full solutions like this?
Chapter 16 Solutions
Principles of Instrumental Analysis
- Functional groups such as anhydride, carboxylate (but not carboxylic acid), nitro, primary amino give two stretching vibrational bands in the infrared spectrum. What is the origin of these two bands ?arrow_forwardAdenine has a molar extinction coefficient of 7020 mol dm–3 cm–1 at a wavelength of 265 nm and a characteristic NH2 bending vibration at 1650 cm–1. Show your working for each stage of this question. a) Calculate the transmission of 265 nm light through a 2.0×10–4 molar solution of adenine in a 0.5 cm wide cuvette. b) Calculate, ω, the fundamental frequency of the NH2 bend (in s–1).arrow_forwardThe molar absorption coefficient of a substance dissolved in hexane is known to be 227 dm3 mol−1 cm−1 at 290 nm. Calculate the percentage reduction in intensity when ultraviolet radiation of that wavelength passes through 2.00 mm of a solution of concentration 2.52 mmol dm−3.arrow_forward
- The vibrational levels of 23Na127I lie at the wavenumbers 142.81, 427.31, 710.31, and 991.81 cm−1. Show that they fit the expression (v + 1/2) ᷉v − (v + 1/2) 2xe ᷉v, and deduce the force constant, zero-point energy, and dissociation energy of the molecule.arrow_forwardAssume that the first line of the rotational spectrum (J = 0 → J = 1) of CO is 3.8424 cm-1. Calculate the length of the CO bond in picometer (10-12 m). To mark the answer, neglect the fractional part and do not write the unit. Information: mass of carbon: 12 c.u. mass of oxygen: 16 c.u. h = 6,6261 x 10-34 J.s π = 3,1416 c = 2,9979 x108 m.s-1 N = 6,0221 x 1023 mol-1arrow_forwardThe fundamental vibrational wavenumber, ?, of the H19F molecule is at 4138.3 cm-1. Calculate the force constant of the H-F bond in units of N m-1.arrow_forward
- Calculate the wavenumber of the first overtone transition with v = 2 ← O in nitric oxide. NO. given that the value of the vibrational wavenumber is v = 1904.03 cm-1, and the anharmonicity constant is xB = 0.0073.arrow_forwardFor 1H35Cl molecule, (N1/N0) ratio at 300 K is 6.091 x 10^-2. Calculate the wavenumber ( in cm^-1 ) for J=2→J=3 transition in the microwave spectrum of the molecule.arrow_forwardConsider ultraviolet radiation of wavelength 300 nm passing through 1.50 mm of a solution of absorbing substance at concentration 0.717 mmol dm-3. Transmission was found to be 61.5%. Calculate the molar absorption coefficient of the solute at 400 nm and express your answer in cm2 /mol.arrow_forward
- a.) The molar absorption coefficient of a substance dissolved in benzene is measured to be 802 L mol-1 cm-1 at 492 nm. Calculate what fraction of the incident light intensity of that wavelength passes through 2.97 mm of a solution of concentration 3.06 mmol/L. b.) The molar absorption coefficient of a solute at 524 nm is 103 dm3 mol-1 cm-1. When light of that wavelength passes through a 4.70 mm cell containing a solution of the solute, 59.4 per cent of the light was absorbed. What is the concentration of the solution?Ans = ______ mmol dm-3arrow_forwarda.) The spacings of the rotational fine structure lines of carbon dioxide 12C16O2 are determined from IR spectroscopy to be 0.7604 cm-1. Calculate the C=O bond length of the molecule (given masses: m(12C) = 12 amu, m(16O) = 15.9949 amu).Ans = ______ Angstroms b.) Suppose that the wavenumber of the J = 1 ← 0 rotational transition of 1H79Br considered as a rigid rotor was measured to be 17.89 cm-1, what is the bond length? Ans = ____ Angstroms When the moment of interia is 3.132x10^-47 kg*m^2(Given the isotopic masses:(m(79Br) = 78.9183 amu, m(81Br) = 80.9163 amu)arrow_forwardWhat factors influence the wavelength of maximum emission and maximum excitation in fluorescence spectroscopy?arrow_forward
- Principles of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage Learning