Chemical physics and the interaction of nuclear radiation with matter

The student should know the basic definitions and theorems concerning differential calculus, indefinite and definite integral.

Additionally, he should be able to use elements of differential calculus and calculate indefinite, marked and incorrect integrals of selected types.

Classes requiring the direct participation of the teacher - lecture 30 hours, exercises 30 hours, consultations 15 h, 75 hours in total

Own work: preparation for classes and tests - 40 h

own: literature studies, supplementary course content - 20 h

Preparation for the exam - 15h

Total student workload: 150 h

150h / 25h / ECTS = 6 ECTS

The student knows:

- basic concepts of classical mechanics (Newton's equations, Lagrange's equations, canonical Hamilton's, constraints, degrees of freedom, generalized coordinates);

- basics of non-relativistic quantum mechanics;

- postulates of quantum mechanics;

- variation method;

- basic concepts of statistical thermodynamics (microstate, sum of states, entropy);

- the way of expressing thermodynamic functions by means of the sum of states;

- basics of relativistic quantum mechanics;

- Lorentz transformation;

- special theory of relativity;

- equations for mass, momentum and energy gain;

- Dirac equation;

- systems of energy levels in the non-relativistic theory

and relativistic for a single- and multi-electron atom;

- the basics of angular momentum theory;

- characteristic X-rays;

- selection rules for electron transitions;

- nuclear reactions;

- natural and artificial radioactivity;

- basic types of radiation;

- X-rays and gamma rays;

(K_W01, K_W02, K_W06, K_W08)

The student is able to:

- apply the Newton and Lagrange equations to the description of motion;

- apply the special theory of relativity;

- find the expression for a given thermodynamic function by means of the sum of the system states;

- find the atomic terms approximately the coupling LS and j-j;

- use selection rules for electron transitions;

- recognize and define natural and artificial radioactivity; basic types of radiation; X-rays and gamma rays;

(K_U01, K_U02)

Student:

- reliably assesses own knowledge in the field of chemical physics,

- is encouraged to further deepen this knowledge on their own.

(K_K01, K_K02)

informative lecture (conventional)

- informative (conventional) lecture

The main aim of the lecture is to familiarize students with the following topics:

I. Elements of Theoretical Mechanics.

II. Elements of Statistical Thermodynamics.

III. Fundamentals of non-relativistic and relativistic quantum mechanics.

IV. Theoretical foundations of atomic spectroscopy.

V. Interaction of nuclear radiation with matter.

I. Elements of classical mechanics

1. Newton's equations.

2. Kinetic energy, potential field and potential energy.

3. Lagrange's function and Lagrange's equations.

4. Bonds. Degrees of freedom.

5. Generalized coordinates.

6. Lagrange's equations in generalized coordinates.

7. Hamilton's canonical equations.

II. Elements of Statistical Thermodynamics

1. Microstate and macrostate of the system.

2. Sum of states - division function.

3. Relationship of the sum of states with the internal energy of the system.

4. Entropy and thermodynamic probability.

5. Expression of thermodynamic functions by means of a sum of states.

6. Examples of expressions for the state sum.

III. Fundamentals of non-relativistic and relativistic quantum mechanics

1. Postulates of quantum mechanics.

2. Variation method.

3. Basics of relativistic quantum mechanics.

4. Lorentz transformation.

5. Special theory of relativity.

6. Dirac equation.

7. Systems of energy levels in the non-relativistic theory

and relativistic for a single- and multi-electrode atom.

IV. Theoretical foundations of atomic spectroscopy

1. Angular momentum couplings: limit couplings LS and j-j.

2. Selection rules for electron transitions.

V. Interaction of nuclear radiation with matter

1. Nuclear reactions.

2. Natural and artificial radioactivity.

3. Basic types of radiation; X-rays and gamma rays.

1. Kazimierz Gumiński i Piotr Petelenz, "Elementy chemii teoretycznej", PWN Warszawa 1989;

2. Lucjan Sobczyk, Adolf Kisza, "Chemia fizyczna dla przyrodników", PWN Warszawa 1975;

3. Haken Hermann, Wolf Hans, "Atomy i kwanty - Wprowadzenie do współczesnej spektroskopii atomowej", PWN Warszawa 2002;

4. Włodzimierz Kołos, "Chemia kwantowa", PWN Warszawa 1978;

5. Lucjan Piela, "Idee chemii kwantowej", PWN Warszawa 2004;

6. Alojzy Gołębiewski, "Elementy mechaniki i chemii kwantowej", PWN Warszawa 1982.

7. J. Sobkowski, M. Jelińska-Kazimierczuk, Chemia jądrowa, Wyd. Adamantan 2006.

8. W. Szymański, Chemia jądrowa, PWN (1991).

Lecture: written exam, standard grading scale

(K_W01, K_W02, K_W06, K_W08, K_U01, K_U02, K_K01)

Classes: written test in the form of a colloquium

(K_W01, K_W02, K_W06, K_W08, K_U01, K_U02, K_K01, K_K02