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Chemistry 155 Introduction to Instrumental Analytical Chemistry

Chemistry 155 Introduction to Instrumental Analytical Chemistry

Chemistry 155 Introduction to Instrumental Analytical Chemistry

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Chem <strong>155</strong> Unit 1 Page 25 of 3131.8 Detection LimitThe detection limit is denoted “C M ”C M is the minimum concentration that can be“detected,” or distinguished confidently from a blank.Let us define the minimum detectable signal changeas: ΔS MTherefore: ΔS M = mC M must be a multiple (n) of thenoise level in the blank: (σ b ).ΔS M ≡ 3σ b = mC MMinimumDetectable SignalSignal due <strong>to</strong>blankMinimumdetectableconcentrationBy convention, m=3.Derive a formula for C M based on σ B and m:mC M = 3σ bsoC M = 3σ b /mDerive a formula for C M based on γ :γ = m/σ so 1/γ = σ/mC M = 3σ/m = 3/γPage 25 of 313

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