리제강 고리의 형태에 미치는 전해질의 효과

Effect of Electrolyte on the Shapes of Liesegang Rings

INTRODUCTION

Various beautiful shapes of spherulitic rhyolites, which are rare in general, are produced in the form of a vein in the Cheongsong area (located southeast growth and the latter grow continuously through multiple stages. of Seoul). The spherulitic rhyolites are mainly divided into simple spherulites and multiple spherulites: the former do not grow after the 1st stage growth and the latter grow continuously through multiple stages.

Fig. 1.Variety of spherulitic rhyolites in Cheongsong area. (a) Rose type, (b) Innominate type, (c) Dahlia type, and (d) Sunflower type.

Oh et al. reported that the multiple spherulites in the northern part of Mt. Juwang in Cheongsong were formed due to Liesegang ring formation and diffusion by cooling rate difference: Rose-type (Fig. 1a) and innominate-type (Fig. 1b) radial simple spherulites are formed by the same principle in the generation of Liesegang rings with relatively slow supercooling.1 They further reported that dahlia-type (Fig. 1c) and sunflower-type (Fig. 1d) with multiple layered spherulites are formed by the repetition of relatively fast supercooling.

Orbicular structure is completed by alternate layers of dark and bright that converges to a center core which is composed of some minerals or of captures. This structure generates concentric circles or radial pattern which gives in a concentric sphere, which are the characteristics of most of the orbicular rocks. The structure is called orbicular rocks. Here, ‘the structure or precipitation form making multiple concentric circles’ is called a cyclic precipitation reaction, and is called an annual ring reaction or Liesegang ring.

We can observe the formation of annual rings in chemical reactions; such reactions are called cyclic precipitation reactions. If the conditions are suitable, all precipitation reactions can happen as cyclic reactions.2

Jun and Han investigated on the various cyclic precipitation reactions of insoluble salts at room temperature, and reported that the shapes of the insoluble salt Liesegang rings are correlated with the solubility product and that Liesegang rings are formed more precisely and quickly when the constant is small.2 This study aimed to examine how the shape of insoluble salt Liesegang rings differs according to the concentration of internal electrolyte and temperature.

The Liesegang rings are formed in the course of formation of spherulitic rhyolites. These rings can indicate the environmental and chemical conditions (e.g., the chemical components, temperature and concentration) on the days through the widths and gaps between two rings as well as color. Spherulitic rhyolites with the same color and shape often show the wide gaps between two rings and distinct and/or vague shapes of rings. This result has been rationalized as being due to differences in the internal electrolyte.3 However, the systematic studies of the formation of rings from a chemical point of view remain scarce. Our interest in the mechanistic study of ring formation has prompted us to investigate the effect of the internal electrolyte on the shape of Liesegang rings. This study aims to examine how the shape of insoluble salt Liesegang rings differs according to the concentration of internal electrolyte and temperature.

 

EXPERIMENTAL

The principle of Liesegang rings, used to explain the formation of orbicular and spherulitic rocks, was reported first by Liesegang.4 In Liesegang’s experiment, if silver nitrate solution is dropped into the center of gelatin gel containing potassium dichromate, and a round silver dichromate layer forms by the diffusion of the silver nitrate solution; for the formation of this layer, the dichromate element moves from the outside of the layer to the inside. As a result, even if silver nitrate is diffused later, a layer without silver dichromate occurs and the silver dichromate in the outer layer again moves to the precipitated area. Lofgren also confirmed that such formation of radial spherulitic minerals by super cooling happens inside volcanic rocks.5 In addition, when the gel is cooled for 45 minutes, radial precipitation does not appear, instead, one concentric silver dichromate precipitate and a bright band is formed around. This result is due to the viscosity of the gel. As the viscosity of gel increases, only a precipitation front is formed and diffusion current is not. However, further 60 minutes’ cooling gives increased viscosity of the gel, leading to forming the annual ring shape in Liesegang rings as shown in Fig. 1. Several researchers recognized that such Liesegang rings are similar to orbicular structure observed in rocks.6,7,8

To be formed Liesegang rings, the solubility product constant of the ionic crystal of the two electrolytes in which the precipitation reaction takes place should be the same as or larger than the solubility product constant of the insoluble salt. In addition, the concentrations of substances added externally should be higher than the solubilities of the reaction products of the two electrolytes.9

In the reaction that forms Liesegang rings, external electrolyte diffuses into the medium containing internal electrolyte and the internal electrolyte diffuses in the opposite direction; a reaction takes place on the boundary where the two electrolytes meet. The reaction product remains as a sol in the colloidal phase together with the waste products. The reaction boundary known as the sol front moves forward, leaving sol and waste products behind. If the concentration reaches the level characteristic of sol, sudden flocculation takes place dissolving sol particles and making a supersaturated solution of sol. The flocculation area spreads quickly until the flocculation front reaches the sol front. During this period, because flocculation is not affected by the concentration of external electrolyte, the sol front moves independently of flocculation and the sol area starts from the point where flocculation stopped. When the concentration of the sol reaches a specific level, flocculation again takes place and other cyclic rings are formed.10

In the experiment on the formation of Liesegang rings, silver nitrate was used as the internal electrolyte. This followed the report that when heavy metal ions such as silver ions (Ag+) and lead ions (Pb2+) are contained in internal electrolyte they prevents fungal growth and enable long-term preservation and observation.9

For the medium in this experiment, we used a 2% gelatin solution in which Liesegang rings appear clearly, with tested concentrations of internal electrolyte of 0.01 M and 0.02 M. For the temperature change, we prepared internal electrolyte at room temperature (23℃). After 12 hours when its viscosity became suitable for adding and diffusing external electrolyte, the external electrolyte was added and formation of Liesegang ring was tested in a constant-temperature water tank at 30℃ and 40℃. The amount of external electrolyte added was equal to the internal electrolyte in moles, calculated from the concentration of internal electrolyte. (Amount of external electrolyte = formula weight × moles according to reaction method × n, where n is the number of anions in the external electrolyte constituting 1 insoluble salt) The diffusion rate was compared using the radii formed in the same period of time.

 

RESULTS AND DISCUSSION

Gelatin was used as the medium, and four types of insoluble salt with different solubility product constants were selected. The experiments were conducted at 30℃ by changing the concentration of internal electrolyte to 0.01 M and 0.02 M as listed in Table 1 and their results were shown in Fig. 2. (i) When silver and halogen ions were used as the internal electrolyte and external electrolytes, respectively, the largest and clearest Liesegang rings of AgCl were obtained. This result is attributed to the solubility of electrolytes: AgCl is more soluble than other silver halides. Therefore, the precipitation reaction in AgCl becomes slowed down, leading to much clearer and larger ring formation than in AgBr and in AgI. However, AgI with the smallest solubility product constant had the more elaborated shape of ring. (ii) When the temperature was remained constant at 30℃, the radii of Liesegang rings gradually increased as the concentration of electrolyte increases.

Table 1.areference 11.

Fig. 2.Formation of Liesegang rings with changing the electrolyte concentration at 30℃. (a) 0.01 M AgCl, (b) 0.01 M AgBr, (c) 0.01 M AgI, (d) 0.02 M AgCl, (e) 0.02 M AgBr, and (f) 0.02 M AgI.

Fig. 3.Formation of Liesegang rings with changing the electrolyte concentration at 40℃. (a) 0.01 M AgCl, (b) 0.01 M AgBr, (c) 0.01 M AgI, (d) 0.02 M AgCl, (e) 0.02 M AgBr, and (f) 0.02 M AgI.

In order to understand how the shapes of Liesegang rings change according to temperature, we compared the shapes of Liesegang rings formed at 40℃ after controlling for the concentrations of internal and external electrolyte. According to the results of the experiment (see Fig. 3), under the same concentration, the speed of ring formation hardly changed despite the change in temperature. This is probably because the difference between 30℃ and 40℃ is small if converted to absolute temperature, so it did not cause a significant difference in speed. The shapes of Liesegang rings were less clear at 40℃ than at 30℃, but the rings grew larger and faster at 40℃ than at 30℃. This is understood: at high temperatures, the fluidity of gel is high and thus rings are formed fast but their shape is not maintained clearly.

In the experiments above, the exact number ofmoles of external electrolyte was calculated and a constant portion was added every day. Here, however, we examined how the shapes of Liesegang rings changed if external electrolyte was added all at once. In the results of the experiment in Fig. 4, when external electrolyte was added all at once, the shapes of the rings were not clear because a large amount of external electrolyte diffused at once. Thus, gradual cyclic reaction is desirable for observing Liesegang ring reaction.

Table 2 compares radii when 0.01 M or 0.02 M internal electrolyte was added at 30℃ and the same moles of external electrolyte containing halogen ions was added.

Fig. 4.Shapes of Liesegang rings when external electrolyte is added all at once at 30℃. (a) 0.01 M AgCl, (b) 0.01 M AgBr, (c) 0.01 M AgI, (d) 0.02 M AgCl, (e) 0.02 M AgBr, and (f) 0.02 M AgI.

Table 2.Comparison of the radii of Liesegang rings at 30℃

Fig. 5.Comparison of the radii of Liesegang rings by changing the concentration of electrolyte and pKsp at 30℃. (a) 0.01 M AgCl, d = 25.80 mm, (b) 0.01 M AgBr, d = 29.30mm, (c) 0.01 M AgI, d = 28.52 mm, (d) 0.02M AgCl, d = 27.89 mm, (e) 0.02 M AgBr, d = 29.64 mm, and (f) 0.02 MAgI, d = 31.71 mm.

Fig. 6.Diagram showing the radii of Liesegang rings by changing the concentration of electrolyte at 30℃.

According to the results of the analysis based on Fig. 6, the radii of Liesegang rings were larger when pKsp was large, and the proportional correlation between pKsp and the radii of rings was clearer when the concentration of internal electrolyte was 0.02 M than when it was 0.01 M. The correlation between the solubility product constant and the radii of Liesegang rings are presented in Fig. 6.

 

CONCLUSION

The results of our observations are as follows:

i) The Liesegang rings were larger at high electrolyte concentration. We believe that, at high concentrations, forming insoluble salt is larger and therefore external electrolyte diffuses more.

ii) Liesegang rings were clearer at 30℃ than at 40℃ but formed slightly more slowly. iii) When a large amount of external electrolyte was added all at once, the radii of rings were larger but there were fewer rings and their boundaries were unclear.

This study examined cyclic precipitation according to the type of insoluble salt and changes in the Liesegang phenomenon according to the temperature and the concentration of gel-state medium like gelatin. The results are relevant to annual ring reactions observed in rhyolites and other rocks in nature. In general, the color of annual ring in spherulitic rock is determined by the precipitation which is generated by the reaction of anion in internal electrolyte and cation in external electrolyte through the medium of magma. Therefore, the color of precipitation informs what precipitation is produced, and what heavy metal ion is included. For example, bright yellow color of the rocks represents AgBr or AgI precipitation in the rocks. Well-resolved annual ring provides a clear evidence of the outer environment that gives conditions for rock forming- low temperature with high concentrations of internal and external electrolytes.

Regarding the principle that gel cools inside volcanic rock and forms radial spherulitic rock, our results show that not only cooling rate and viscosity but also chemical substances contained in the gel and those intruding rocks from outside in the aspect of solubility product constant may affect this process. In addition, our results are relevant to the environment during cooling or the possibility of the inflow of chemical substances that can be inferred from the viscosity of magma or the color and state of rhyolites. The diffusion of two electrolytes is possible only when the gel-state medium is semisolid and does not flow, but is not too hard.