(1) Conductivity and Electronic field
An electrical current flows from an ion molecules in the air. There are 4 kinds of ions, large-positive, large-negative, small-positive and small-negative. Where the electric field strength is F, the total electrical current which flows from these 4 kinds of ions is it, and all ions have different mobility values (k/K/+/-) and ion counts (n/N/+/-). [Mobility values] k+: Positively charged small ion k-: Negatively charged small ion K+: Positively charged large ion K-: Negatively charged large ion [Ion counts] n+: Positively charged small ion n-: Negatively charged small ion N+: Positively charged large ion N-: Negatively charged large ion Each current which flows from each ion: [Current: Ion] en+Fk+: small positive ion en-Fk-: small negative ion eN+FK+: large positive ion eN-FK-: large negative ion The total electrical current is the sum of each current and it is described by: it = (en+Fk+) + (en-Fk-) + (eN+FK+) + (eN-FK-) = F(en+k++en-k-+eN+K++eN-K-) ----- (A) (e=4.77X1010C) where λ+ = (en+k++eN+K+) ----- (B) λ- = (en-k-+eN-K-) ----- (C) λ = λ++λ- ----- (D) (A) can be descried by: it = F(λ++λ-) = Fλ ----- (E) Each term in λ+/λ- is the ratio of the electronic field and the electrical current density, which shows the electrical conductivity. λ+: Positive polar conductivity λ-: Negative polar conductivity λ: Whole conductivity The SI unit of conductivity is: Sm-1 (2) Conductivity depending on environment e.g. #1 where the air is well purified and n/N/k/K/+/- are: n+ = 600 n- = 600 N+ = 2000 N- = 2000 k+ = 1.5(cm2/Vs) k- = 1.5(cm2/Vs) K+ = 0.0004(cm2/Vs) K- = 0.0004(cm2/Vs) ekn:eKN = 1125:1 (ref. to B/C)This shows that the electronic conductivity in the purified air is largely determined by small ions. e.g. #2 where the air is polluted and n/N/k/K/+/- are: n+ = 100 n- = 100 N+ = 50000 N- = 50000 k+ = 1.5(cm2/Vs) k- = 1.5(cm2/Vs) K+ = 0.0004(cm2/Vs) K- = 0.0004(cm2/Vs) ekn:eKN = 7.5:1 (ref. to B/C)This shows that large ions play a partial role to determine the electronic conductivity in the polluted air.
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