Elements of spectra line shapes theory 0800-M-ELSPELIS

The course extends the basic knowledge about the interaction of electromagnetic radiation with matter. It is devoted to an advanced method of describing the shapes of spectral lines absorbed or emitted by atoms and molecules in the gas phase. The most recent approaches for description of molecular spectra in the gas phase will be presented.

The course covers the following topics:
- a stochastic description of the motion of colliding atoms and molecules
- velocity-changing soft impact model
- speed-changing hard impact model
- Dicke narrowing
- speed-changing collisions and speed-dependent broadening and shifting of spectral lines
- correlations between velocity-changing collisions and the collision broadening and shift of spectral lines
- collisional line-mixing
- line-mixing, Dickie narrowing and speed-dependent effects
- integral description of speed-changing collisions
- matrix description of speed-changing collisions
- model of billiard balls
- collisions changing velocity, speed and direction of velocity
- ab initio line shapes calculations

Total student workload

Hours with the participation of teachers: 33 hours. - participation in lectures: 30 hours - participation in exams: 1 hour - participation in consultations: 2 hours Time devoted to individual work of the student: 60 hours. - preparation for the lecture: 20 hours - reading literature: 20 hours - preparation for the exam: 20 hours Total: 93 hours (3 ECTS)

Learning outcomes - knowledge

W1 (K_W01 - Astronomy; K_W01 - Physics; K_W01, K_W04 - Technical Physics) Using the example of the electromagnetic field, has knowledge about the concept of field theory in physics, its basic properties and consequences, and the importance for the progress of natural sciences, cognition of the world and human development W2 (K_W05 - Astronomy; K_W05 - Physics; K_W02, K_W04 - Technical Physics) Has knowledge of the influence of the electromagnetic field on matter and its properties. W3 (K_W04 - Astronomy; K_W03 - Physics; K_W02 - Technical Physics) Has knowledge of physical quantities and their units describing the interaction of electromagnetic radiation with matter. W4 (K_W02, K_W03 - Astronomy; K_W04, K_W06 - Physics; K_W01, K_W08 - Technical Physics) Has knowledge of mathematical tools for the analysis of statistical processes and solving differential and integral equations. W5 (K_W07 - Astronomy; K_W04, K_W02 - Physics; K_W01, K_W08 - Technical Physics) Understands the role of a physical experiment in understanding the phenomena related to the interaction of electromagnetic radiation with matter.

Learning outcomes - skills

U1 (K_U01 - Astronomy; K_U01 - Physics; K_U01 - Technical Physics) Can use mathematical formalism to describe the interaction of electromagnetic radiation with matter. By applying the basic laws of electromagnetism, quantum mechanics and statistical physics, he is able to prove relationships between physical quantities in selected cases. U2 (K_U02 - Astronomy; K_U04 - Physics; K_U01 - Technical Physics) He can independently solve tasks and problems including electromagnetic interactions, issues of quantum mechanics and statistical physics.

Learning outcomes - social competencies

K1 (K_K01 - Astronomy; K_K01 - Physics; K_K01 - Technical Physics) He knows the limitations of his own knowledge and human cognition on the example of fundamental interactions and understands the need for further education and research on this issue. K2 (K_K02, K_K03 - Astronomy; K_K03 - Physics; K_K05 - Technical Physics) Understands the importance of honesty in scientific and professional activities, appreciates the importance of legal aspects of intellectual property and ethical principles. K3 (K_K04 - Astronomy; K_K04 - Physics; K_K02, K_K03 - Technical Physics) Has awareness and understanding of the social aspects of the practical applying the acquired knowledge and skills and related to it responsibility. Understands the need to popularize knowledge and its promotion in social awareness for rational decision making.

Teaching methods

Information lecture, seminar lecture, problem lecture, discussion on solved problems.

Expository teaching methods

- informative (conventional) lecture
- participatory lecture
- problem-based lecture

Exploratory teaching methods

- classic problem-solving

Online teaching methods

- exchange and discussion methods

Type of course

elective course

Prerequisites

General physics, quantum mechanics, statistical physics, analysis, algebra.

Course coordinators

Roman Ciuryło

Assessment criteria

Oral exam conducted using the Webex platform. An assessment will be issued based on student answers to three questions.

Bibliography

Stochastic problems in physics and astronomy
By: Chandrasekhar, S
REVIEWS OF MODERN PHYSICS ‏ Volume: ‏ 15 Issue: ‏ 1 Pages: ‏ 0001-0089 Published: ‏ JAN 1943

EFFECT OF COLLISIONS ON DOPPLER BROADENING OF SPECTRAL LINES
By: RAUTIAN, SG; SOBELMAN, II
SOVIET PHYSICS USPEKHI-USSR ‏ Volume: ‏ 9 Issue: ‏ 5 Pages: ‏ 701-& Abstract Number: ‏ A1968-01153 Published: ‏ 1967

IMPACT THEORY FOR DOPPLER AND PRESSURE BROADENING .1. GENERAL THEORY
By: SMITH, EW; COOPER, J; CHAPPELL, WR; et al.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER ‏ Volume: ‏ 11 Issue: ‏ 10 Pages: ‏ 1547-& Published: ‏ 1971

IMPACT THEORY FOR DOPPLER AND PRESSURE BROADENING .2. ATOMIC AND MOLECULAR SYSTEMS
By: SMITH, EW; COOPER, J; CHAPPELL, WR; et al.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER ‏ Volume: ‏ 11 Issue: ‏ 10 Pages: ‏ 1567-& Published: ‏ 1971

SELF-STRUCTURE FACTOR OF HARD-SPHERE GASES FOR ARBITRARY RATIO OF BATH TO TEST PARTICLE MASSES
By: LINDENFELD, MJ
JOURNAL OF CHEMICAL PHYSICS ‏ Volume: ‏ 73 Issue: ‏ 11 Pages: ‏ 5817-5829 Published: ‏ 1980

A MODIFIED BOLTZMANN KINETIC-EQUATION FOR LINE-SHAPE FUNCTIONS
By: BLACKMORE, R
JOURNAL OF CHEMICAL PHYSICS ‏ Volume: ‏ 87 Issue: ‏ 2 Pages: ‏ 791-800 Published: ‏ JUL 15 1987

Line mixing sum rules for the analysis of multiplet spectra
By: Pine, AS
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER ‏ Volume: ‏ 57 Issue: ‏ 2 Pages: ‏ 145-155 Published: ‏ FEB 1997

Dicke narrowing as an example of line mixing
By: Dolbeau, S; Berman, R; Drummond, JR; et al.
PHYSICAL REVIEW A ‏ Volume: ‏ 59 Issue: ‏ 5 Pages: ‏ 3506-3512 Published: ‏ MAY 1999

Collisional Effects on Molecular Spectra: Laboratory Experiments and Models, Consequences for Applications
By: Hartmann, J. M.; Boulet, C.; Robert, D.
COLLISIONAL EFFECTS ON MOLECULAR SPECTRA: LABORATORY EXPERIMENTS AND MODELS, CONSEQUENCES FOR APPLICATIONS ‏ Pages: ‏ 1-411 Published: ‏ 2008
Publisher: ELSEVIER SCIENCE BV, SARA BURGERHARTSTRAAT 25, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS

The impact theory of spectral line shapes: a paradigm shift
By: May, A. D.; Liu, W. -K.; McCourt, F. R. W.; et al.
CANADIAN JOURNAL OF PHYSICS ‏ Volume: ‏ 91 Issue: ‏ 11 Special Issue: ‏ SI Pages: ‏ 879-895 Published: ‏ NOV 2013

A generalized speed-dependent line profile combining soft and hard partially correlated Dicke-narrowing collisions
By: Ciurylo, R; Pine, AS; Szudy, J
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER ‏ Volume: ‏ 68 Issue: ‏ 3 Pages: ‏ 257-271 Published: ‏ FEB 1 2001

Speed-dependent line mixing profiles
By: Ciurylo, R; Pine, AS
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER ‏ Volume: ‏ 67 Issue: ‏ 5 Pages: ‏ 375-393 Published: ‏ DEC 1 2000

Modeling the spectral line shapes with speed-dependent broadening and Dicke narrowing
By: Shapiro, DA; Ciurylo, R; Jaworski, R; et al.
CANADIAN JOURNAL OF PHYSICS ‏ Volume: ‏ 79 Issue: ‏ 10 Pages: ‏ 1209-1222 Published: ‏ OCT 2001

Solving the line-shape problem with speed-dependent broadening and shifting and with Dicke narrowing. II. Application
By: Ciurylo, R; Shapiro, DA; Drummond, JR; May, AD
PHYSICAL REVIEW A ‏ Volume: ‏ 65 Issue: ‏ 1 Article Number: 012502 Published: ‏ JAN 2002

Velocity-changing collisions in pure H-2 and H-2-Ar mixture
By: Wcislo, P.; Tran, H.; Kassi, S.; et al.
JOURNAL OF CHEMICAL PHYSICS ‏ Volume: ‏ 141 Issue: ‏ 7 Article Number: 074301 Published: ‏ AUG 21 2014

Accurate deuterium spectroscopy for fundamental studies
By: Wcislo, P.; Thibault, F.; Zaborowski, M.; et al.
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER ‏ Volume: ‏ 213 Pages: ‏ 41-51 Published: ‏ JUL 2018

Additional information

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Description of 0800-M-ELSPELIS in USOSweb