CN114295435A - Method for measuring Mg interaction mother coefficient in Sn-based alloy - Google Patents
Method for measuring Mg interaction mother coefficient in Sn-based alloy Download PDFInfo
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- 239000000956 alloy Substances 0.000 title claims abstract description 69
- 229910045601 alloy Inorganic materials 0.000 title claims abstract description 68
- 238000000034 method Methods 0.000 title claims abstract description 60
- 230000003993 interaction Effects 0.000 title claims abstract description 35
- 239000011777 magnesium Substances 0.000 claims abstract description 248
- OKTJSMMVPCPJKN-UHFFFAOYSA-N Carbon Chemical compound [C] OKTJSMMVPCPJKN-UHFFFAOYSA-N 0.000 claims abstract description 66
- 229910002804 graphite Inorganic materials 0.000 claims abstract description 65
- 239000010439 graphite Substances 0.000 claims abstract description 65
- 238000006243 chemical reaction Methods 0.000 claims abstract description 41
- 230000000694 effects Effects 0.000 claims abstract description 36
- 239000000843 powder Substances 0.000 claims abstract description 28
- 229910052749 magnesium Inorganic materials 0.000 claims abstract description 27
- FYYHWMGAXLPEAU-UHFFFAOYSA-N Magnesium Chemical compound [Mg] FYYHWMGAXLPEAU-UHFFFAOYSA-N 0.000 claims abstract description 16
- 239000007788 liquid Substances 0.000 claims abstract description 16
- 239000002245 particle Substances 0.000 claims abstract description 15
- 238000010791 quenching Methods 0.000 claims abstract description 8
- 230000000171 quenching effect Effects 0.000 claims abstract description 8
- 238000010438 heat treatment Methods 0.000 claims abstract description 5
- 239000000126 substance Substances 0.000 claims description 12
- 238000002474 experimental method Methods 0.000 claims description 10
- 238000002354 inductively-coupled plasma atomic emission spectroscopy Methods 0.000 claims description 9
- 238000005498 polishing Methods 0.000 claims description 9
- 229910052751 metal Inorganic materials 0.000 claims description 8
- 239000002184 metal Substances 0.000 claims description 8
- 238000004140 cleaning Methods 0.000 claims description 6
- 238000005553 drilling Methods 0.000 claims description 6
- 239000002243 precursor Substances 0.000 claims description 5
- 238000004364 calculation method Methods 0.000 claims description 4
- 150000001875 compounds Chemical class 0.000 claims description 3
- 238000001816 cooling Methods 0.000 claims description 3
- 238000009795 derivation Methods 0.000 claims description 3
- 239000000203 mixture Substances 0.000 description 8
- 229910000861 Mg alloy Inorganic materials 0.000 description 7
- 238000011161 development Methods 0.000 description 6
- 239000003638 chemical reducing agent Substances 0.000 description 5
- 238000005303 weighing Methods 0.000 description 4
- 244000137852 Petrea volubilis Species 0.000 description 3
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- 230000009286 beneficial effect Effects 0.000 description 1
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- 238000004949 mass spectrometry Methods 0.000 description 1
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Abstract
The invention provides a method for measuring a Mg interaction mother coefficient in Sn-based alloy, which comprises the following steps: preparing Mg powder; adding Sn particles and Mg powder into a graphite crucible; placing a graphite crucible in a tubular furnace constant-temperature area at 700-800 ℃; heating the tube furnace to 1500 ℃, preserving heat for 24 hours, taking out the graphite crucible and quenching; taking out a sample from the quenched graphite crucible, and analyzing the sample to obtain the mass fraction of Mg in the Sn-based alloy; calculating the mass fraction of Mg in the Sn-based alloy to obtain [ Mg ] in the Sn during reaction equilibrium]Mole fraction x of[Mg](ii) a Respectively calculating [ Mg ] in Sn at the time of reaction equilibrium by a formula]Activity coefficient gamma with pure liquid magnesium as standard state[Mg]Interaction parent coefficient with Mg in Sn-based alloy
The invention provides a method for measuring the interaction mother coefficient of Mg in Sn-based alloy, which is simpleSimple structure and wide application range.
Description
Technical Field
The invention relates to the technical field of physicochemical tests, in particular to a method for determining a Mg interaction mother coefficient in Sn-based alloy.
Background
The magnesium alloy has the advantages of light weight, high specific strength and the like, so that the thermodynamic property of the magnesium alloy is researched, and the magnesium alloy can be better applied to guiding the development and utilization of the magnesium alloy. The existing method for measuring the activity of the components of the alloy system mainly comprises a model prediction method and an experimental measurement method. According to research of relevant documents, methods for experimentally measuring activity include methods such as a vapor pressure method, an electromotive force method, a chemical equilibrium method, a partition law method, a saturation solubility method and a mass spectrometry method. The activity prediction method of the model comprises a solution model method, a geometric model method, an interaction method, an analytical calculation method and an empirical model method. However, the experimental determination method is influenced by the complexity of high-temperature experiments and the precision requirement of experimental data, the data of the activity of the alloy system components are relatively deficient, and the experimental determination of the activity of the alloy system components is usually carried out at high temperature, so that the difficulty is high. Various models obtained in the model prediction method have limitations and application ranges.
Therefore, a method for measuring the interaction mother coefficient of Mg in Sn-based alloy, which is simple in measuring method and wide in application range, is needed at present, so that the method has guiding significance for development and utilization of magnesium alloy.
Disclosure of Invention
The invention aims to solve the technical problem of providing a method for measuring the interaction mother coefficient of Mg in Sn-based alloy, which has the advantages of simple measuring method and wide application range.
In order to solve the technical problem, the invention provides a method for measuring the interaction mother coefficient of Mg in Sn-based alloy, which comprises the following steps:
preparing Mg powder;
adding Sn particles and Mg powder with the mass of 5-10% of the Sn particles into a graphite crucible;
placing a graphite crucible in a tubular furnace constant-temperature area at 700-800 ℃;
heating the tube furnace to 1400 ℃ and 1600 ℃, preserving the heat for 20-30h, and taking out the graphite crucible for quenching;
taking out a sample from the quenched graphite crucible, and analyzing the sample to obtain the mass fraction of Mg in the Sn-based alloy;
calculating the mass fraction of Mg in the Sn-based alloy to obtain [ Mg ] in the Sn during reaction equilibrium]Mole fraction x of[Mg]；
By the formula:
calculating [ Mg ] in Sn at reaction equilibrium]Activity coefficient gamma with pure liquid magnesium as standard state[Mg]；
In the formula, pCOAnd pθPartial pressure of CO and standard atmospheric pressure, KθIs the equilibrium constant of the chemical reaction;
expanded by Taylor series:
calculation of the interaction parent coefficient of Mg in Sn-based alloys
In the formula (I), the compound is shown in the specification,
is the activity coefficient of the component Mg in the dilute solution taking pure substances as standard states.
Further, the formula
The derivation method of (1) is as follows:
[Mg]Sn+CO(g)＝(MgO)+C(graphite) (1)
ΔGθ＝-RTlnKθ (2)
in the formula, a(MgO)Activity of MgO in the pure state, a(MgO)＝1；a[Mg]The activity of Mg in metal Sn taking pure liquid magnesium as a standard state; p is a radical ofCOAnd pθPartial pressure of CO and standard atmospheric pressure respectively; r is a molar gas constant; the experiment was carried out in a graphite crucible, then aC1 is ═ 1; according to a[Mg]＝x[Mg]·γ[Mg]Equation (3) can be simplified as:
formula (4) can be modified as follows:
x[Mg]in order to balance the reaction, [ Mg ] in Sn]Mole fraction of (c).
Further, the taylor series expansion:
is according to the interior space method of tile
The logarithmic function of (a) is developed as a taylor series.
Further, for ln γ[Mg]And x[Mg]Performing a linear fit, whichIntercept of the fitting equation is
Has a slope of
From this, the interaction parent coefficient of Mg in the Sn-based alloy can be obtained
Further, the method for preparing the Mg powder comprises the following steps: and (3) taking an Mg ingot, polishing the surface of the Mg ingot, and preparing Mg powder on the surface of the Mg ingot by using a tool through a grinding, drilling or sawing method.
Further, the mass fraction of Mg in the Sn-based alloy obtained by analyzing the sample is obtained by analyzing the sample by using an inductively coupled plasma atomic emission spectrometry.
Further, the graphite crucible is taken out and quenched in an oil cooling mode.
Further, the graphite crucible is placed in a tubular furnace constant-temperature area of 700-800 ℃, the tubular furnace is heated to 700-800 ℃, and then N is used firstly2And cleaning air in the furnace tube, and then putting the graphite crucible into a constant-temperature area of the tube furnace.
According to the method for measuring the interaction mother coefficient of Mg in the Sn-based alloy, provided by the invention, at a certain temperature, the interaction mother coefficient of Mg in the Sn-based alloy is measured by taking metal Sn as a fusing agent and CO as a reducing agent and adopting a chemical equilibrium method experiment, and the method is simple and has a wider application range. The method has accurate determination result, and the experimental data of the experimental determination of the alloy system component is crucial to the perfection and development of a thermodynamic model and has guiding significance for the development and utilization of the magnesium alloy.
Drawings
FIG. 1 is a flow chart of a method for determining a Mg interaction precursor coefficient in a Sn-based alloy according to an embodiment of the present invention.
Detailed Description
Referring to fig. 1, a method for determining a Mg interaction mother coefficient in a Sn-based alloy according to an embodiment of the present invention includes the following steps:
preparing Mg powder;
adding Sn particles and Mg powder with the mass of 5-10% of the Sn particles into a graphite crucible;
placing a graphite crucible in a tubular furnace constant-temperature area at 700-800 ℃;
heating the tube furnace to 1500 ℃, preserving heat for 24 hours, taking out the graphite crucible and quenching;
taking out a sample from the quenched graphite crucible, and analyzing the sample to obtain the mass fraction of Mg in the Sn-based alloy;
calculating the mass fraction of Mg in the Sn-based alloy to obtain [ Mg ] in the Sn during reaction equilibrium]Mole fraction x of[Mg]；
By the formula:
calculating [ Mg ] in Sn at reaction equilibrium]Activity coefficient gamma with pure liquid magnesium as standard state[Mg]；
In the formula, pCOAnd pθPartial pressure of CO and standard atmospheric pressure, respectively, KθIs the equilibrium constant of the chemical reaction;
expanded by Taylor series:
calculation of the interaction parent coefficient of Mg in Sn-based alloys
In the formula (I), the compound is shown in the specification,
is the activity coefficient of the component Mg in the dilute solution taking pure substances as standard states.
Wherein the formula
since the mixture of Sn and Mg is fused in a graphite crucible, the following reaction occurs:
[Mg]Sn+CO(g)＝(MgO)+C(graphite) (1)
ΔGθ＝-RTlnKθ (2)
since the mixture of Sn and Mg is fused at a temperature of 1500 ℃, T is 1773K, Δ GθIs-68.46 kJ. mol-1The molar gas constant R is 8.314 J.mol-1·K-1. From the formula (2), the equilibrium constant K of the chemical reaction can be calculatedθThe value of (c).
In the formula (3), a(MgO)Activity of MgO in the pure state, a(MgO)＝1；a[Mg]The activity of Mg in metal Sn taking pure liquid magnesium as a standard state; p is a radical ofCOAnd pθPartial pressure of CO and standard atmospheric pressure respectively; r is a molar gas constant; the experiment was carried out in a graphite crucible, then aC1 is ═ 1; according to a[Mg]＝x[Mg]·γ[Mg]Equation (3) can be simplified as:
formula (4) can be modified as follows:
x[Mg]in order to balance the reaction, [ Mg ] in Sn]Mole fraction of (c).
Wherein the Taylor series expansion:
is according to the interior space method of tile
The logarithm function of the system is obtained by expanding the logarithm function of the system into a Taylor series; for ln gamma[Mg]And x[Mg]Performing a linear fit with an intercept of the fit equation of
Has a slope of
From this, the interaction parent coefficient of Mg in the Sn-based alloy can be obtained
Wherein the method for preparing Mg powder comprises the following steps: and (3) taking an Mg ingot, polishing the surface of the Mg ingot, and preparing Mg powder on the surface of the Mg ingot by using a tool through a grinding, drilling or sawing method.
And analyzing the sample to obtain the mass fraction of Mg in the Sn-based alloy by adopting an inductively coupled plasma atomic emission spectrometry.
Wherein, the graphite crucible is taken out and quenched by adopting an oil cooling mode.
Wherein, the step of placing the graphite crucible in a tubular furnace constant-temperature area at 700-800 ℃ is to heat the tubular furnace to 700-800 ℃, and then use N firstly2And cleaning air in the furnace tube, and then putting the graphite crucible into a constant-temperature area of the tube furnace.
The method for determining the interaction mother coefficient of Mg in Sn-based alloy provided by the present invention is specifically described below by examples.
Example 1
A sufficient amount of Mg powder was first prepared using an Mg ingot. And (2) polishing all the surfaces of the Mg ingot by using sand paper, grinding, drilling or sawing the surfaces of the Mg ingot by using tools (such as files, saw blades or drills and the like) without rusting and oxidation to obtain Mg powder, collecting about 5g of prepared Mg powder, and sealing and storing in a shade place.
Respectively weighing 5g of Sn particles prepared in advance, placing the Sn particles in a graphite crucible, and finally weighing Mg powder with the mass of 6 percent of the Sn particles and adding the Mg powder into the graphite crucible.
When the temperature of the high-temperature tube furnace is raised to 700-800 ℃, N is firstly used2Cleaning the air in the furnace tube, controlling the condition pCO/pθThe graphite crucible with the sample is then slowly placed in the oven in a constant temperature zone.
And (3) starting timing when the temperature of the tube furnace rises to 1500 ℃, keeping the temperature for 24 hours, and quickly taking out the graphite crucible by using a graphite rod and quenching by using oil.
The quenched graphite crucible was removed and the sample was carefully separated from the graphite crucible. And polishing the sample to obtain a sample, and analyzing by using inductively coupled plasma atomic emission spectrometry (ICP-AES) to obtain the mass fraction of Mg in the Sn-based alloy.
[ Mg ] in Sn at the time of reaction equilibrium of Mg in Sn-based alloy obtained by conversion of mass fraction of Mg in Sn-based alloy]Mole fraction x of[Mg]。
Because the mixture of Sn and Mg is placed in a graphite crucible and is kept at the constant temperature for 24 hours in a tube furnace with the temperature of 1500 ℃, the mixture of Sn and Mg in the graphite crucible is melted into Sn-based alloy, and the Mg in the Sn-based alloy reacts under the action of a reducing agent CO as follows:
[Mg]Sn+CO(g)＝(MgO)+C(graphite) (1)
ΔGθ＝-RTlnKθ (2)
since the fusion temperature of Sn and Mg is 1500 ℃, T is 1773K, and deltaGθIs-68.46 kJ. mol-1The molar gas constant R is 8.314 J.mol-1·K-1. From the formula (2), the equilibrium constant K of the chemical reaction can be calculatedθThe value of (c).
In the formula (3), a(MgO)Activity of MgO in the pure state, a(MgO)＝1；a[Mg]The activity of Mg in metal Sn taking pure liquid magnesium as a standard state; p is a radical ofCOAnd pθPartial pressure of CO and standard atmospheric pressure respectively; the experiment was carried out in a graphite crucible, then aC1 is ═ 1; according to a[Mg]＝x[Mg]·γ[Mg]Equation (3) can be simplified as:
formula (4) can be modified as follows:
x[Mg]in order to balance the reaction, [ Mg ] in Sn]Mole fraction of (c).
At pCO/pθWhen the reaction rate is 1, [ Mg ] in Sn is determined by the reaction equilibrium of Mg in the Sn-based alloy calculated]Mole fraction x of[Mg]And equilibrium constant K of chemical reactionθBy the formula:
can calculate [ Mg ] in Sn at reaction equilibrium]Activity coefficient gamma with pure liquid magnesium as standard state[Mg]；
Then according to the interior tile method, the
The logarithm function of the system is obtained by expanding the logarithm function of the system into a Taylor series; for ln gamma[Mg]And x[Mg]Performing a linear fit with an intercept of the fit equation of
Has a slope of
Thus, according to the Taylor series expansion:
the interaction parent coefficient of Mg in the Sn-based alloy can be calculated and obtained by the intercept and the slope of the fitting equation
And the activity coefficient of the component Mg in the dilute solution in a pure substance as a standard state
In this example, [ Mg ] in Sn at equilibrium of the reaction]Mole fraction x of[Mg]In equilibrium, [ Mg ] in Sn]Activity coefficient gamma with pure liquid magnesium as standard state[Mg]And the interaction parent coefficient of Mg in Sn-based alloy
And the activity coefficient of the component Mg in the dilute solution in a pure substance as a standard state
As shown in table 1.
Example 2
A sufficient amount of Mg powder was first prepared using an Mg ingot. And (2) polishing all the surfaces of the Mg ingot by using sand paper, grinding, drilling or sawing the surfaces of the Mg ingot by using tools (such as files, saw blades or drills and the like) without rusting and oxidation to obtain Mg powder, collecting about 5g of prepared Mg powder, and sealing and storing in a shade place.
The prepared Sn particles are respectively weighed by 5g and placed in a graphite crucible, and finally Mg powder with 5 percent of the mass of the Sn particles is weighed and added into the graphite crucible.
When the temperature of the high-temperature tube furnace is raised to 700-800 ℃, N is firstly used2Cleaning the air in the furnace tube, controlling the condition pCO/pθThe graphite crucible with the sample is then slowly placed into the oven in a constant temperature zone, at 0.6 deg.f.
And (3) starting timing when the temperature of the tube furnace rises to 1500 ℃, keeping the temperature for 24 hours, and quickly taking out the graphite crucible by using a graphite rod and quenching by using oil.
The quenched graphite crucible was removed and the sample was carefully separated from the graphite crucible. And polishing the sample to obtain a sample, and analyzing by using inductively coupled plasma atomic emission spectrometry (ICP-AES) to obtain the mass fraction of Mg in the Sn-based alloy.
[ Mg ] in Sn at the time of reaction equilibrium of Mg in Sn-based alloy obtained by conversion of mass fraction of Mg in Sn-based alloy]Mole fraction x of[Mg]。
Because the mixture of Sn and Mg is placed in a graphite crucible and is kept at the constant temperature for 30 hours in a tube furnace with the temperature of 1400 ℃, the mixture of Sn and Mg in the graphite crucible is melted into Sn-based alloy, and the Mg in the Sn-based alloy reacts under the action of a reducing agent CO as follows:
[Mg]Sn+CO(g)＝(MgO)+C(graphite) (1)
ΔGθ＝-RTlnKθ (2)
since the fusion temperature of Sn and Mg is 1500 ℃, T is 1773K, and deltaGθIs-68.46 kJ. mol-1The molar gas constant R is 8.314 J.mol-1·K-1. From the formula (2), the equilibrium constant K of the chemical reaction can be calculatedθThe value of (c).
In the formula (3), a(MgO)Activity of MgO in the pure state, a(MgO)＝1；a[Mg]The activity of Mg in metal Sn taking pure liquid magnesium as a standard state; p is a radical ofCOAnd pθPartial pressure of CO and standard atmospheric pressure respectively; the experiment was carried out in a graphite crucible, then aC1 is ═ 1; according to a[Mg]＝x[Mg]·γ[Mg]Equation (3) can be simplified as:
formula (4) can be modified as follows:
x[Mg]in order to balance the reaction, [ Mg ] in Sn]Mole fraction of (c).
At pCO/pθWhen the reaction equilibrium of Mg in the Sn-based alloy is calculated as 0.6, [ Mg ] in Sn]Mole fraction x of[Mg]And equilibrium constant K of chemical reactionθBy the formula:
can calculate [ Mg ] in Sn at reaction equilibrium]Activity coefficient gamma with pure liquid magnesium as standard state[Mg]；
Then according to the interior tile method, the
The logarithm function of the system is obtained by expanding the logarithm function of the system into a Taylor series; for ln gamma[Mg]And x[Mg]Performing a linear fit with an intercept of the fit equation of
Has a slope of
Thus, according to the Taylor series expansion:
the interaction parent coefficient of Mg in the Sn-based alloy can be calculated and obtained by the intercept and the slope of the fitting equation
And the activity coefficient of the component Mg in the dilute solution in a pure substance as a standard state
In this example, [ Mg ] in Sn at equilibrium of the reaction]Mole fraction x of[Mg]In equilibrium, [ Mg ] in Sn]Activity coefficient gamma with pure liquid magnesium as standard state[Mg]And the interaction parent coefficient of Mg in Sn-based alloy
And the activity coefficient of the component Mg in the dilute solution in a pure substance as a standard state
As shown in table 1.
Example 3
A sufficient amount of Mg powder was first prepared using an Mg ingot. And (2) polishing all the surfaces of the Mg ingot by using sand paper, grinding, drilling or sawing the surfaces of the Mg ingot by using tools (such as files, saw blades or drills and the like) without rusting and oxidation to obtain Mg powder, collecting about 5g of prepared Mg powder, and sealing and storing in a shade place.
Respectively weighing 5g of Sn particles prepared in advance, placing the Sn particles in a graphite crucible, and finally weighing Mg powder with the mass of 6 percent of the Sn particles and adding the Mg powder into the graphite crucible.
When the temperature of the high-temperature tube furnace is raised to 700-800 ℃, N is firstly used2Cleaning the air in the furnace tube, controlling the condition pCO/pθThe graphite crucible with the sample is then slowly placed into the oven in a constant temperature zone, at 0.2 deg.f.
And (3) starting timing when the temperature of the tube furnace rises to 1500 ℃, keeping the temperature for 24 hours, and quickly taking out the graphite crucible by using a graphite rod and quenching by using oil.
The quenched graphite crucible was removed and the sample was carefully separated from the graphite crucible. And polishing the sample to obtain a sample, and analyzing by using inductively coupled plasma atomic emission spectrometry (ICP-AES) to obtain the mass fraction of Mg in the Sn-based alloy.
[ Mg ] in Sn at the time of reaction equilibrium of Mg in Sn-based alloy obtained by conversion of mass fraction of Mg in Sn-based alloy]Mole fraction x of[Mg]。
Because the mixture of Sn and Mg is placed in a graphite crucible and is kept at the constant temperature for 20 hours in a tube furnace with the temperature of 1600 ℃, the mixture of Sn and Mg in the graphite crucible is melted into Sn-based alloy, and the Mg in the Sn-based alloy reacts under the action of a reducing agent CO as follows:
[Mg]Sn+CO(g)＝(MgO)+C(graphite) (1)
ΔGθ＝-RTlnKθ (2)
since the fusion temperature of Sn and Mg is 1500 ℃, T is 1773K, and deltaGθIs-68.46 kJ. mol-1The molar gas constant R is 8.314 J.mol-1·K-1. From the formula (2), the equilibrium constant K of the chemical reaction can be calculatedθThe value of (c).
In the formula (3), a(MgO)Activity of MgO in the pure state, a(MgO)＝1；a[Mg]The activity of Mg in metal Sn taking pure liquid magnesium as a standard state; p is a radical ofCOAnd pθPartial pressure of CO and standard atmospheric pressure respectively; the experiment was carried out in a graphite crucible, then aC1 is ═ 1; according to a[Mg]＝x[Mg]·γ[Mg]Equation (3) can be simplified as:
formula (4) can be modified as follows:
x[Mg]in order to balance the reaction, [ Mg ] in Sn]Mole fraction of (c).
At pCO/pθWhen the value is 0.2, [ Mg ] in Sn at the time of equilibrium of reaction of Mg in Sn-based alloy calculated based on the value]Mole fraction x of[Mg]And equilibrium constant K of chemical reactionθBy the formula:
can calculate [ Mg ] in Sn at reaction equilibrium]Activity coefficient gamma with pure liquid magnesium as standard state[Mg]；
Then according to the interior tile method, the
The logarithm function of the system is obtained by expanding the logarithm function of the system into a Taylor series; for ln gamma[Mg]And x[Mg]Performing a linear fit with an intercept of the fit equation of
Has a slope of
Thus, according to the Taylor series expansion:
the interaction parent coefficient of Mg in the Sn-based alloy can be calculated and obtained by the intercept and the slope of the fitting equation
And the activity coefficient of the component Mg in the dilute solution in a pure substance as a standard state
In this example, [ Mg ] in Sn at equilibrium of the reaction]Mole fraction x of[Mg]In equilibrium, [ Mg ] in Sn]Activity coefficient gamma with pure liquid magnesium as standard state[Mg]And the interaction parent coefficient of Mg in Sn-based alloy
And the activity coefficient of the component Mg in the dilute solution in a pure substance as a standard state
As shown in table 1.
Table 1.
The method has the beneficial effect of determining the interaction mother coefficient of Mg in the Sn-based alloy. Specifically, at a certain temperature, metal Sn is used as a fusing agent, CO is used as a reducing agent, a chemical equilibrium experiment is adopted to determine the interaction mother coefficient of Mg in the Sn-based alloy, experimental data for determining alloy system components through the experiment is important to the perfection and development of a thermodynamic model, and the method has guiding significance for the development and utilization of the magnesium alloy.
Finally, it should be noted that the above embodiments are only for illustrating the technical solutions of the present invention and not for limiting, and although the present invention has been described in detail with reference to examples, it should be understood by those skilled in the art that modifications or equivalent substitutions may be made on the technical solutions of the present invention without departing from the spirit and scope of the technical solutions of the present invention, which should be covered by the claims of the present invention.
Claims (8)
1. A method for determining a Mg interaction mother coefficient in a Sn-based alloy is characterized by comprising the following steps:
preparing Mg powder;
adding Sn particles and Mg powder with the mass of 5-10% of the Sn particles into a graphite crucible;
placing a graphite crucible in a tubular furnace constant-temperature area at 700-800 ℃;
heating the tube furnace to 1500 ℃, preserving heat for 24 hours, taking out the graphite crucible and quenching;
taking out a sample from the quenched graphite crucible, and analyzing the sample to obtain the mass fraction of Mg in the Sn-based alloy;
calculating the mass fraction of Mg in the Sn-based alloy to obtain [ Mg ] in the Sn during reaction equilibrium]Mole fraction x of[Mg]；
By the formula:
calculating [ Mg ] in Sn at reaction equilibrium]Activity coefficient gamma with pure liquid magnesium as standard state[Mg]；
In the formula, pCOAnd pθPartial pressure of CO and standard atmospheric pressure, KθIs the equilibrium constant of the chemical reaction;
expanded by Taylor series:
calculation of the interaction parent coefficient of Mg in Sn-based alloys
In the formula (I), the compound is shown in the specification,
is the activity coefficient of the component Mg in the dilute solution taking pure substances as standard states.
2. The method of determining the Mg interaction precursor coefficient in the Sn-based alloy of claim 1, wherein the formula
The derivation method of (1) is as follows:
[Mg]Sn+CO(g)＝(MgO)+C(graphite) (1)
ΔGθ＝-RTlnKθ (2)
in the formula, a(MgO)Activity of MgO in the pure state, a(MgO)＝1；a[Mg]The activity of Mg in metal Sn taking pure liquid magnesium as a standard state; p is a radical ofCOAnd pθPartial pressure of CO and standard atmospheric pressure respectively; r is a molar gas constant; the experiment was carried out in a graphite crucible, then aC1 is ═ 1; according to a[Mg]＝x[Mg]·γ[Mg]Equation (3) can be simplified as:
formula (4) is further modified as:
x[Mg]in order to balance the reaction, [ Mg ] in Sn]Mole fraction of (c).
3. The method of determining the Mg interaction precursor coefficient in the Sn-based alloy of claim 1, wherein the taylor series expansion:
is according to the interior space method of tile
The logarithmic function of (a) is developed as a taylor series.
4. The method of claim 3, wherein the correlation of ln γ is determined for the precursor coefficient of Mg interaction in the Sn-based alloy[Mg]And x[Mg]Performing a linear fit with an intercept of the fit equation of
Has a slope of
From this, the interaction parent coefficient of Mg in the Sn-based alloy can be obtained
5. The method of determining the Mg interaction precursor coefficient in the Sn-based alloy of claim 1, wherein the method of preparing the Mg powder comprises: and (3) taking an Mg ingot, polishing the surface of the Mg ingot, and preparing Mg powder on the surface of the Mg ingot by using a tool through a grinding, drilling or sawing method.
6. The method of claim 1, wherein analyzing the sample to obtain the mass fraction of Mg in the Sn-based alloy is analyzing the sample to obtain the mass fraction of Mg in the Sn-based alloy using inductively coupled plasma atomic emission spectroscopy.
7. The method of claim 1, wherein the quenching of the graphite crucible is performed by oil cooling.
8. The method for determining the interaction mother coefficient of Mg in Sn-based alloy as claimed in claim 1, wherein the step of placing the graphite crucible in a tubular furnace constant temperature region of 700-800 ℃ is carried out by heating the tubular furnace to 700-800 ℃, and then using N2Cleaning the air in the furnace tube, and then putting the graphite crucible into the tube furnaceAnd (5) a constant temperature area.
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