photoelectric_effect.py

import math

plancks_constant = 6.63e-34
speed_of_light = 3e8
joules_per_electronvolt = 1.6e-19
meters_per_nanometer = 1e-9
mass_of_electron_kg = 9.109e-31

def wavelength_to_ephoton(nanometers):
    # returns joules
    return frequency_to_ephoton(speed_of_light / (nanometers * meters_per_nanometer))

def frequency_to_ephoton(hertz):
    # returns joules
    return plancks_constant * hertz

def ephoton_to_frequency(joules):
    # returns hertz
    return joules / plancks_constant

def joules_to_electronvolts(joules):
    # returns joules
    return joules / joules_per_electronvolt

def electronvolts_to_joules(electronvolts):
    # returns joules
    return joules_per_electronvolt * electronvolts

def work_function_to_threshold_frequency(electronvolts):
    # returns hertz
    wfj = electronvolts_to_joules(electronvolts)
    return ephoton_to_frequency(wfj)

def wavelength_to_work_function(nanometers):
    # returns electronvolts
    return joules_to_electronvolts(wavelength_to_ephoton(nanometers))

def max_speed_from_work_function_and_frequency(joules, hertz):
    # returns meters per second
    ephoton = frequency_to_ephoton(hertz)
    ekmax = ephoton - joules
    return math.sqrt(ekmax / (0.5 * mass_of_electron_kg))
    
# n = max_speed_from_work_function_and_frequency(8.4e-20, 7e14)
# print(n)