Lecture 1 Flashcards
Accuracy
agreement of a measure value with an accepted value (target)
Precision
onsistency of a measurement made in different trials/ runs
Mean
Average
Add all values up then divide by how many units added
SD (Standard Deviation)
When there is a value above or below the mean
calculated based off of the mean and the number of units in the sampling
Standard deviation: Formulation
s= square root of E (x-xi)^2/n-1
Histograms
Frequency vs outcome
Frequency and outcome
Frequency - how often an outcome happened, on y axis
Outcomes - what happened, - on x axis
Bell-shaped curves
Many histograms have a profile that looks like a bell-shaped curve as
smaller bin sizes
large number samples
1-3 Standard deviation
63.8% confident = 1 SD
95.5% confident = 2 SD
99.7% confident= 3 SD
Does averaging improve data?
Yes, as number of measurements (n) gets larger the range at any confidence gets smaller
Coefficient of variation (CV)
Formula: CV= SD/Mean *100
expresses error as %
range at any confidence will be different for every type measurement
What is CV known as?
referred to as “the index of precision”
Spectrophotometry
Often used to determine concentrations - >less light-> higher concentration
Shining light through sample and seeing how much light gets through
Visible light
Most common light used is visible to our eyes
What is the frequency range of visible light?
400-700 nm
Wavelengths
distance between high points
Which types of light aren’t seen?
UltraViolet (UV) and Infrared (IR) light
Transmittance formula
I/Io *100= transmittance T
Transmittance: Io
(reference/background) measured first - solvent alone
Transmittance: I
amount of light that gets through when the sample + solvent is in the light beam
Transmittance
fraction light that got through
Monochromators
Separate light into narrow range of wavelength (colors)
What types of monochromators are they
3 types:
Prism, refraction grating, and light filters
Single Beam Spectrophotometer parts
Source
Monochromator
Slit before sample
Slit after sample
Detector
Single Beam Spectrophotometer: Source
Provides sufficient light
Tungsten Lamp is common source
Single Beam Spectrophotometer: Monochromator
Accepts polychromatic input light from a lamp and outputs monochromatic light
Single Beam Spectrophotometer: Prism
used to isolate different wavelengths
Single Beam Spectrophotometer: Filter
Separates different parts of the electromagnetic spectrum by absorbing or reflecting certain wavelengths and transmitting other wavelengths
Single Beam Spectrophotometer: Diffraction grating
an optical component with a regular pattern, which splits (diffracts) light into several different beams traveling in different directions
Single Beam Spectrophotometer: Cuvettes
Chosen for transparency in the spectral wavelengths of interest
Plants Formula
Energy of each one photon of light
Planck’s constant
h = 6.62 x 10-34 J*s
Beers law
A = ebc
Beers law: Components
e = is the Molar Absorptivity aka Molar Extinction Coefficient
b is the pathlength - the distance the light travels through the sample
c is the concentration, usually in moles/liter (M)
A = Absorbance = –log(I/Io)