DuckieDai Beer-Lambert Law Python Program

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chemistry · MIT License

Overview

Solve A = epsilon*c*l and convert between absorbance and transmittance while keeping units and model limits visible.

Usage

Inputs

Solve mode and the required absorbance, molar absorptivity, concentration, or path length
Incident and transmitted intensity, or their dimensionless ratio

Outputs

Absorbance, concentration, molar absorptivity, path length, transmittance ratio, or percent transmittance

Units: A is dimensionless; epsilon uses L/(mol*cm), c uses mol/L, and l uses cm. I and I0 must use the same intensity unit.

Assumptions and limitations

Assumptions

The sample is homogeneous and follows a linear Beer-Lambert response at the selected wavelength.
Scattering, stray light, chemical equilibria, and instrument effects are negligible.

Constraints

Divisors and intensity values must be positive; A, epsilon, and concentration are nonnegative in the primary solve modes.

Known failures

I greater than I0 gives negative absorbance and usually indicates a baseline, reference, or measurement issue.
High concentration or high absorbance can depart from linear behavior.

Compatibility and review

Review status: Not calculator tested
Tested on: The owner reports personally testing the supplied archive programs on a calculator; exact model, OS, and Python App versions were not recorded
What happened: Owner reported interactive testing is disclosed, but the published bytes are not labeled independently calculator tested because the environment is unrecorded and Arrhenius received a narrow intake correction
Dependencies: math
Suggested calculator name: BEER — you can give it another valid, unique name when you transfer it
Desktop test cases: Not available for this interactive-only source

This exact source auto-launches an interactive calculator session, so compatibility evidence comes from the recorded physical-device review rather than an importable desktop fixture.

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Exact reviewed bytes

Source code

Download .py

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from math import log

def duckiedai_intro(program_name,wait=True):
 title=program_name[:16]
 empty=16-len(title)
 left=empty//2
 right=empty-left
 print("+----------------------+")
 print("|   "+" "*left+title+" "*right+"   |")
 print("|                      |")
 print("|       __             |")
 print("|   ___(o )>  quack!   |")
 print("|   \\ <_. )           |")
 print("|    `---'             |")
 print("|     by DuckieDai     |")
 print("+----------------------+")
 print("Loading...")
 if wait:
  input("Press enter to start ")
  print("\n"*6)

def num(s,zero=0):
 while 1:
  try:
   x=float(input(s))
   if x>0 or zero and x>=0:return x
  except:pass
  print("Enter a valid #")

def ratio():
 while 1:
  x=num("I/I0: ")
  if x<=1:return x
  print("I/I0 must be <=1")

duckiedai_intro("BEER LAMBERT")
print("BEER-LAMBERT LAW")
print("1 Find A")
print("2 Find conc")
print("3 Find epsilon")
print("4 Find path")
print("5 A from I/I0")
print("6 Light from A")
c=""
while c not in ("1","2","3","4","5","6"):
 c=input("Choose 1-6: ")

if c=="1":
 e=num("epsilon: ",1)
 x=num("Conc mol/L: ",1)
 l=num("Path cm: ")
 a=e*x*l
 print("A =",a)

elif c=="2":
 a=num("Absorbance A: ",1)
 e=num("epsilon: ")
 l=num("Path cm: ")
 print("Conc mol/L =",a/(e*l))

elif c=="3":
 a=num("Absorbance A: ",1)
 x=num("Conc mol/L: ")
 l=num("Path cm: ")
 print("epsilon =",a/(x*l))
 print("L/(mol*cm)")

elif c=="4":
 a=num("Absorbance A: ",1)
 e=num("epsilon: ")
 x=num("Conc mol/L: ")
 print("Path cm =",a/(e*x))

elif c=="5":
 print("1 Enter I and I0")
 print("2 Enter I/I0")
 q=""
 while q not in ("1","2"):
  q=input("Choose 1 or 2: ")
 if q=="1":
  i0=num("I0: ")
  i=num("I: ")
  r=i/i0
 else:r=ratio()
 print("A =",-log(r,10))
 print("I/I0 =",r)
 print("%T =",r*100)

else:
 a=num("Absorbance A: ",1)
 r=10**(-a)
 print("I/I0 =",r)
 print("%T =",r*100)
 q=input("Find I? 1=yes: ")
 if q=="1":print("I =",num("I0: ")*r)

input("ENTER for guide: ")
print("QUICK GUIDE")
print("A=epsilon*c*l")
print("A=-log(I/I0)")
print("Higher A: less light")
print("A has no units")
print("DuckieDai: done!")
input("ENTER to exit: ")

from math import log
def duckiedai_intro(program_name,wait=True):
title=program_name[:16]
empty=16-len(title)
left=empty//2
right=empty-left
print("+----------------------+")
print("| "+" "*left+title+" "*right+" |")
print("| |")
print("| __ |")
print("| ___(o )> quack! |")
print("| \\ <_. ) |")
print("| `---' |")
print("| by DuckieDai |")
print("+----------------------+")
print("Loading...")
if wait:
input("Press enter to start ")
print("\n"*6)
def num(s,zero=0):
while 1:
try:
x=float(input(s))
if x>0 or zero and x>=0:return x
except:pass
print("Enter a valid #")
def ratio():
while 1:
x=num("I/I0: ")
if x<=1:return x
print("I/I0 must be <=1")
duckiedai_intro("BEER LAMBERT")
print("BEER-LAMBERT LAW")
print("1 Find A")
print("2 Find conc")
print("3 Find epsilon")
print("4 Find path")
print("5 A from I/I0")
print("6 Light from A")
c=""
while c not in ("1","2","3","4","5","6"):
c=input("Choose 1-6: ")
if c=="1":
e=num("epsilon: ",1)
x=num("Conc mol/L: ",1)
l=num("Path cm: ")
a=e*x*l
print("A =",a)
elif c=="2":
a=num("Absorbance A: ",1)
e=num("epsilon: ")
l=num("Path cm: ")
print("Conc mol/L =",a/(e*l))
elif c=="3":
a=num("Absorbance A: ",1)
x=num("Conc mol/L: ")
l=num("Path cm: ")
print("epsilon =",a/(x*l))
print("L/(mol*cm)")
elif c=="4":
a=num("Absorbance A: ",1)
e=num("epsilon: ")
x=num("Conc mol/L: ")
print("Path cm =",a/(e*x))
elif c=="5":
print("1 Enter I and I0")
print("2 Enter I/I0")
q=""
while q not in ("1","2"):
q=input("Choose 1 or 2: ")
if q=="1":
i0=num("I0: ")
i=num("I: ")
r=i/i0
else:r=ratio()
print("A =",-log(r,10))
print("I/I0 =",r)
print("%T =",r*100)
else:
a=num("Absorbance A: ",1)
r=10**(-a)
print("I/I0 =",r)
print("%T =",r*100)
q=input("Find I? 1=yes: ")
if q=="1":print("I =",num("I0: ")*r)
input("ENTER for guide: ")
print("QUICK GUIDE")
print("A=epsilon*c*l")
print("A=-log(I/I0)")
print("Higher A: less light")
print("A has no units")
print("DuckieDai: done!")
input("ENTER to exit: ")

Filename: beer.py
Size: 2111 bytes
SHA-256: f83924f329db3a636204ccf0d19041002cb6e5d0a4b25a420d766df22c4596cf

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Version history

1.0.0 — current version, published 2026-09-23. Download this reviewed version

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