Table 1: Total column-densities (in cm^-2) of species of interest with their relative yields. c and C are the column-densities across the small and big cloud calculations without turbulent diffusion. c_t is for the small cloud when maximum turbulent diffusion is included with $L=8 \times 10^{-2}$ pc. $C_{\rm t2}$ and $C_{\rm t10}$ are the results for the big cloud and turbulent diffusion with a correlation length L₂=2L and L₁₀=10L respectively. The relative yields are computed as $y=c_{\rm t}/c$ , $y_2=C_{\rm t2}/C$ and $y_{10}=C_{\rm t10}/C$ . Note that the yields are not strictly 1 for (H+2H₂), O and C⁺: this gives an estimate of the mass conservation error in the code for individual species. Column-densities as observed in the $\zeta$ Per line of sight are provided in the last column. The last row diplays the ratio of H₂O to OH column-densities. The last column contains the observed column-densities as quoted by Le Petit et al. (2004).
Species c $c_{\rm t}$ y C $C_{\rm t2}$ y₂ $C_{\rm t10}$ y₁₀ $\zeta$ Per

H 4.6(19) 7.5(19) 1.62 1.1(20) 1.8(20) 1.66 1.8(20) 1.64 5.7(20)

H₂ 2.0(19) 6.9(18) 0.34 3.6(20) 3.4(20) 0.93 3.5(20) 0.96 3.7(20)

C⁺ 1.6(16) 1.6(16) 1.02 1.4(17) 1.5(17) 1.05 1.5(17) 1.07 1.8(17)

C 4.3(13) 1.5(13) 0.34 8.1(15) 4.1(15) 0.51 4.6(15) 0.57 2.9-3.6(15)

O 3.7(16) 3.8(16) 1.02 3.6(17) 3.6(17) 1.02 3.7(17) 1.05 ...

CO 2.7(11) 2.1(11) 0.78 2.3(13) 9.5(12) 0.41 1.5(13) 0.65 5.4(14)

OH 4.8(11) 2.1(12) 4.40 2.0(12) 1.1(13) 5.65 1.7(13) 8.53 4.0(13)

H₂O/OH 7.9(-2) 3.6(-2) ... 8.0(-2) 9.8(-2) ... 1.3(-1) ... ...

H₃⁺ 7.5(10) 9.5(10) 1.27 8.7(11) 3.0(12) 3.46 1.5(13) 17.25 8.0(13)

CH⁺ 7.2(09) 9.0(10) 12.56 3.6(10) 1.8(11) 5.11 6.2(11) 17.37 3.5(12)

CH 6.1(11) 4.1(10) 0.07 3.9(13) 1.6(13) 0.41 1.8(13) 0.46 1.9-2.0(13)

H₂O 3.8(10) 7.6(10) 2.00 1.6(11) 1.1(12) 6.89 2.1(12) 13.33 ...

**Table 1:** Total column-densities (in cm^-2) of species of interest with their relative yields. c and C are the column-densities across the small and big cloud calculations without turbulent diffusion. c_t is for the small cloud when maximum turbulent diffusion is included with $L=8 \times 10^{-2}$ pc. $C_{\rm t2}$ and $C_{\rm t10}$ are the results for the big cloud and turbulent diffusion with a correlation length L₂=2L and L₁₀=10L respectively. The relative yields are computed as $y=c_{\rm t}/c$ , $y_2=C_{\rm t2}/C$ and $y_{10}=C_{\rm t10}/C$ . Note that the yields are not strictly 1 for (H+2H₂), O and C⁺: this gives an estimate of the mass conservation error in the code for individual species. Column-densities as observed in the $\zeta$ Per line of sight are provided in the last column. The last row diplays the ratio of H₂O to OH column-densities. The last column contains the observed column-densities as quoted by Le Petit et al. (2004).
Species	c	$c_{\rm t}$	y	C	$C_{\rm t2}$	y₂	$C_{\rm t10}$	y₁₀	$\zeta$ Per
H	4.6(19)	7.5(19)	1.62	1.1(20)	1.8(20)	1.66	1.8(20)	1.64	5.7(20)
H₂	2.0(19)	6.9(18)	0.34	3.6(20)	3.4(20)	0.93	3.5(20)	0.96	3.7(20)
C⁺	1.6(16)	1.6(16)	1.02	1.4(17)	1.5(17)	1.05	1.5(17)	1.07	1.8(17)
C	4.3(13)	1.5(13)	0.34	8.1(15)	4.1(15)	0.51	4.6(15)	0.57	2.9-3.6(15)
O	3.7(16)	3.8(16)	1.02	3.6(17)	3.6(17)	1.02	3.7(17)	1.05	...
CO	2.7(11)	2.1(11)	0.78	2.3(13)	9.5(12)	0.41	1.5(13)	0.65	5.4(14)
OH	4.8(11)	2.1(12)	4.40	2.0(12)	1.1(13)	5.65	1.7(13)	8.53	4.0(13)
H₂O/OH	7.9(-2)	3.6(-2)	...	8.0(-2)	9.8(-2)	...	1.3(-1)	...	...
H₃⁺	7.5(10)	9.5(10)	1.27	8.7(11)	3.0(12)	3.46	1.5(13)	17.25	8.0(13)
CH⁺	7.2(09)	9.0(10)	12.56	3.6(10)	1.8(11)	5.11	6.2(11)	17.37	3.5(12)
CH	6.1(11)	4.1(10)	0.07	3.9(13)	1.6(13)	0.41	1.8(13)	0.46	1.9-2.0(13)
H₂O	3.8(10)	7.6(10)	2.00	1.6(11)	1.1(12)	6.89	2.1(12)	13.33	...

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