Atomic Physics Formulas and Constants

This page presents a collection of crucial formulas and constants used in atomic physics, essential for students preparing for exams like Fizyka atomowa Sprawdzian or studying Fizyka atomowa LICEUM. The formulas cover various aspects of atomic and quantum physics, providing a solid foundation for understanding complex atomic phenomena.

The page begins with the fundamental equation for the photoelectric effect:

E₁ = W + Ek

This equation relates the energy of incident photons (E₁) to the work function of the material (W) and the kinetic energy of emitted electrons (Ek).

Definition: The photoelectric effect is the emission of electrons from a material when it is exposed to light of sufficient energy.

Next, the document presents Planck's constant, a crucial value in quantum mechanics:

h = 6.63 × 10⁻³⁴ J·s

Highlight: Planck's constant is fundamental to understanding quantum behavior and is used in many atomic physics calculations.

The energy of a photon is given by the equation:

Ef = h · f

Where f is the frequency of the light.

The speed of light, another essential constant, is noted:

c = 3 × 10⁸ m/s

The page also includes the de Broglie wavelength formula:

λ = h / mv

Example: This formula is used to calculate the wavelength associated with particles, demonstrating the wave-particle duality of matter.

For calculating the kinetic energy of photoelectrons, the formula is provided:

Ek = h · f - W

The document then presents formulas for orbital radii and electron energies in atoms, including:

Em = -13.6 / n²

Where Em is the energy of an electron in the nth energy level of a hydrogen atom.

Vocabulary: The Bohr model of the atom uses these equations to describe electron orbits and energy levels.

Lastly, the page includes a conversion factor for Planck's constant in electron volts:

h = 4.14 × 10⁻¹⁵ eV·s

This comprehensive collection of formulas serves as an excellent reference for students studying Fizyka atomowa wzory or preparing for a Fizyka atomowa Sprawdzian Nowa Era. It covers the essential mathematical tools needed to solve problems in atomic physics and quantum mechanics.