Nic MA-3 Solo, Инструкция по эксплуатации

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Instruction Manual: Thermal Vaporization Mercury Analyzer MA-3 Solo NIC-TD-0000090-15
100
Nippon Instruments Corporation
5.7.
Formulae
The calibration curve is calculated using the least squares method. The formulae are
described below:
5.7.1.1.
Linear Formula (y = ax + b)
𝒚 = 𝒂𝒙 + 𝒃
𝑎 = (∑ 𝑥𝑦 × 𝑛 − ∑ 𝑥 × ∑ 𝑦) ÷ {∑ 𝑥
2
× ( 𝑛 − 1)}
𝑏 = (∑ 𝑦 − 𝑎 × ∑ 𝑥) ÷ 𝑛
𝒚 = 𝒂𝒙 + 𝑩𝒍𝒂𝒏𝒌
𝑎 = {∑ 𝑥𝑦 − (𝐵𝑙𝑎𝑛𝑘 × ∑ 𝑥)} ÷ ∑ 𝑥
2
𝑏 = 𝐵𝑙𝑎𝑛𝑘
𝒚 = 𝒂𝒙 + 𝟎
𝑎 = ∑ 𝑥𝑦 ÷ ∑ 𝑥
2
𝑏 = 0
5.7.1.2.
Cubic Formula (y = ax3 + bx2 + cx + d)
𝒚 = 𝒂𝒙
𝟑
+ 𝒃𝒙
𝟐
+ 𝒄𝒙 + 𝒅
𝑎 = (𝑠1 × 𝑠5 − 𝑠2 × 𝑠4) ÷ (𝑠3 × 𝑠5 − 𝑠4 × 𝑠4)
𝑏 = (𝑠1 − 𝑎 × 𝑠3) ÷ 𝑠4
𝑐 = (𝑢1 − 𝑎 × 𝑢4 − 𝑏 × 𝑢5) ÷ 𝑢6
𝑑 = (𝑡𝑥3𝑦𝑝 − 𝑎 × 𝑡𝑥6𝑝 − 𝑏 × 𝑡𝑥5𝑝 − 𝑐 × 𝑡𝑥4𝑝) ÷ 𝑡𝑥3𝑝
𝑡𝑥3𝑦𝑝 = ∑ 𝑥
3
𝑦 𝑢1 = 𝑡𝑥3𝑦𝑝 × 𝑛 − 𝑡𝑦1𝑝 × 𝑡𝑥3𝑝 𝑠1 = 𝑢1 × 𝑢9 − 𝑢3 × 𝑢6
𝑡𝑥2𝑦𝑝 = ∑ 𝑥
2
𝑦 𝑢2 = 𝑡𝑥2𝑦𝑝 × 𝑛 − 𝑡𝑦1𝑝 × 𝑡𝑥2𝑝 𝑠2 = 𝑢2 × 𝑢9 − 𝑢3 × 𝑢8
𝑡𝑥1𝑦𝑝 = ∑ 𝑥𝑦 𝑢3 = 𝑡𝑥1𝑦𝑝 × 𝑛 − 𝑡𝑦1𝑝 × 𝑡𝑥1𝑝 𝑠3 = 𝑢4 × 𝑢9 − 𝑢6 × 𝑢6
𝑡𝑦1𝑝 = ∑ 𝑦 𝑢4 = 𝑡𝑥6𝑝 × 𝑛 − 𝑡𝑥3𝑝 × 𝑡𝑥3𝑝 𝑠4 = 𝑢5 × 𝑢9 − 𝑢6 × 𝑢8
𝑡𝑥6𝑝 = 𝑎 ∑ 𝑥
6
𝑢5 = 𝑡𝑥5𝑝 × 𝑛 − 𝑡𝑥3𝑝 × 𝑡𝑥2𝑝 𝑠5 = 𝑢7 × 𝑢9 − 𝑢8 × 𝑢8
𝑡𝑥5𝑝 = 𝑎 ∑ 𝑥
5
𝑢6 = 𝑡𝑥4𝑝 × 𝑛 − 𝑡𝑥3𝑝 × 𝑡𝑥1𝑝
𝑡𝑥4𝑝 = 𝑎 ∑ 𝑥
4
𝑢7 = 𝑡𝑥4𝑝 × 𝑛 − 𝑡𝑥2𝑝 × 𝑡𝑥2𝑝
𝑡𝑥3𝑝 = 𝑎 ∑ 𝑥
3
𝑢8 = 𝑡𝑥3𝑝 × 𝑛 − 𝑡𝑥2𝑝 × 𝑡𝑥1𝑝
𝑡𝑥2𝑝 = 𝑏 ∑ 𝑥
2
𝑢9 = 𝑡𝑥2𝑝 × 𝑛 − 𝑡𝑥1𝑝 × 𝑡𝑥1𝑝
𝑡𝑥1𝑝 = 𝑐 ∑ 𝑥