A new experimental phase diagram investigation of Cu–Sb

Abstract

Abstract

The binary system Cu–Sb is a constituent system that is studied in investigations of technically important ternary and quaternary alloy systems (e.g., casting alloys and lead-free solders). Although this binary system has been thoroughly investigated over the last century, there are still some uncertainties regarding its high-temperature phases. Thus, parts of its phase diagram have been drawn with dashed lines in reviews published in the literature. The aim of this work was to resolve these uncertainties in the current phase diagram of Cu–Sb by performing XRD, SEM-EDX, EPMA, and DTA. The results from thermal analysis agreed well with those given in the literature, although some modifications due to the invariant reaction temperatures were necessary. In particular, reactions located on the Cu-rich side of the nonquenchable high-temperature β phase (BiF₃-type) left considerable scope for interpretation. Generally, the structural descriptions of the various binary phases given in the literature were verified. The range of homogeneity of the ε phase (Cu₃Ti type) was found to be higher on the Sb-rich side. Most of the reaction temperatures were verified, but a few had to be revised, such as the eutectoid reaction at 440 °C (found to occur at 427 °C in this work) and the eutectoid reaction at 400 °C (found to occur at 440 °C in this work). Further phase transformations that had previously only been estimated were confirmed, and their characteristic temperatures were determined.

Graphical Abstract

Introduction

Lead-free soldering

Compared to, say, lead–acid accumulators, solders used in electronics utilize only a relatively small proportion of the lead consumed worldwide. However, recycling lead from electronic waste is a complicated task, and it pollutes the environment when deposited in landfills and incinerator plants. In the European Union, the use of lead-containing solders has been prohibited since 2006, although there are unfortunately many exceptions for special applications. The electronics industry has therefore tried to phase-in the use of solders containing other, less harmful, materials than lead over the last decade. While the development of lead-free low-temperature soft solders (melting point ~180–230 °C) is fairly advanced, research into lead-free high-temperature soft solders (melting range >230–350 °C) is still in progress. In order to perform a systematic search for appropriate alloy systems, some fundamental data on phase relations and thermochemical properties are essential. COST Action MP0602 will lead to the creation of an encyclopedic database containing data on several different binary and ternary alloy systems. Alloy systems containing the components of lead-free solder and substrate materials are of particular interest for inclusion in this database. The Cu–Sb system is a possible binary constituent of lead-free solder systems. Indeed, Sb is a component of some lead-free solders that are already available on the market (e.g., Ag–Sb–Sn or Cu–Sb–Sn), and copper is the most commonly used substrate, as well as a potential component of the solder itself.

Despite the fact that there is already a considerable amount of data on the Cu–Sb system, some ambiguities were noticed when a literature search focusing on this system was performed. This primarily affects the hightemperature phase (β phase, BiF₃ type), which cannot be stabilized at room temperature by quenching. Thus, the aim of the work described in the present paper was to improve the current version of the phase diagram for the Cu–Sb system by incorporating data gained from new experiments and by critically assessing the available data in the relevant literature. This work will therefore contribute valuable information to the lead-free solder database and lead to better thermodynamic descriptions of this binary system (see [1, 2]) and derived higher-order systems via the CALPHAD approach.

Literature review

The Cu–Sb phase diagram, as drawn in Massalski [3], is presented in Fig. 1. Invariant reactions are listed in Table 1 and crystallographic data in Table 2, which were taken from works by several authors (see [4–11]).

Fig. 1.

Current version of the phase diagram of the Cu–Sb system [3]

Table 1.

Temperature-invariant reactions in the Cu–Sb system [1]

Reaction	Composition /at% Sb			Temp. /°C	Reaction type
		29		683	Congruent melt
	5.8	19	19.5	645	Eutectic
	31	33.5	46	586	Peritectic
	33.5	63	99.9	526	Eutectic
	5.65	15.5	21.5	488	Peritectoid
	16.5	19	24	462	Peritectoid
	19.5	23	25.5	445a	Peritectoid
	25.5	26.5	32	440a	Eutectoid
	4.6	15.5	18.5	400	Eutectoid
	20	21.5	23.5	390a	Peritectoid
	22.5	24	32.5	360	Eutectoid
	20	21.5	32.5	260a	Eutectoid

^a Uncertain values

Table 2.

Crystallographic data for Cu–Sb phases

Phase	Stoichiometry	Type	Pearson symbol	Space group	No.	a /Å	b /Å	c /Å	Ref.
α	(Cu)	Cu	cF4	Fm-3m	225	3.6130	–	–	[4]
β	Cu3Sb	BiF3	cF16	Fm-3m	225	6.0000	–	–	[5]
γ	Cu4Sb	Mg	hP2	P63/mmc	194	2.7520	–	4.3200	[6]
δ	Cu78Sb20	Cu78Sb21	hP98	P63/mmc	194	19.124	–	4.324756	[7]
ε	Cu3Sb	Cu3Ti	oP8	Pmmn	59	5.5040	4.3530	4.7680	[8]
ζ	Cu10Sb3	Cu10Sb3	hP26	P-3	147	9.9200	–	4.3200	[9]
η	Cu2Sb	Cu2Sb	tP6	P4/nmm	129	4.0014	–	6.1044	[10]
θ	(Sb)	As	hR2	R-3 m	166	4.3084	–	11.2740	[11]

The α phase is Cu containing Sb with extended solubility. The maximum solubility of Sb occurs at 5.8 at% Sb and 645 °C. In contrast to this, there is nearly no solubility of Cu in Sb. The β phase, which is a high-temperature phase, melts congruently at 683 °C. It crystallizes in a cubic BiF₃-type structure (DO₃) with the space group Fm-3m. At the liquid melt, the Sb-rich β forms the η phase in a peritectic reaction (586 °C). On the Cu-rich side, β and (Cu) are formed eutectically at 645 °C. The β phase decomposes in a eutectoid reaction at 440 °C into ε and η. Schubert and Illschner first published this reaction [12], and Heumann and Heinemann [13] subsequently proposed the eutectoid reaction at 436 °C and 22.3 at% Sb based on micrographic data. However, Hansen [14] and later Massalski [3] did not consider the work of Heumann and Heinemann in their assessments, instead establishing the eutectoid decomposition at 375 °C, which was also determined by micrographic data from Heumann and Heinemann’s work [13]. Later, Günzel and Schubert [15] described a new phase (ζ) occurring on the Sb-rich side of δ. Therefore, the latter reaction had to be corrected to (adjusted from 375 to 360 °C). The γ phase is formed from the β phase with (Cu) in the peritectoid reaction (488 °C). This transformation and the peritectoid reaction (462 °C) were found by Murakami and Shibata [16], and both were confirmed by Schubert and Ilschner [12] using dilatometric methods. The ε phase was first mentioned by the same authors. They tentatively fixed the respective reaction temperatures and the concentration limits according to their high-temperature X-ray diffraction results. The invariant peritectoid temperatures of the reactions (445 °C) and (390 °C) as well as the eutectoid decomposition of ζ (, 280 °C) were only roughly estimated by Günzel and Schubert [15] from X-ray diffraction experiments. They proposed the peritectoid temperature () to be 390 °C, but due to the scatter in their experimental data it can only be said to occur in the temperature range 375–400 °C. The decomposition temperature () is suggested to be 260 °C, but again this temperature can only be stated to lie between 250 and 300 °C. The experimental evidence for the eutectoid reaction at 400 °C as presented in the phase diagrams of Hansen [14] and Massalski [3] is unknown. Thus, some reaction temperatures and phase homogeneity ranges are tentative and not determined precisely yet. This is shown by dashed lines in the assessment of the Cu–Sb system by Massalski [3]. Further works by Liu et al. [2] in 2000 and Gierlotka et al. [1] in 2009 contribute thermodynamic assessments with similar transition temperatures to those described by Massalski [3]. These works are the most recent ones; nevertheless, information on the ranges of homogeneity of many phases is missing. Liu et al. [2] modeled the liquid, the (Cu), the (Sb), and the β phases as solid solutions, as did Gierlotka et al. [1], but the latter also calculated the δ and the γ phases as sublattice models. The results obtained in the present work are compared with those given in [3].

Results and discussion

The samples used for DTA measurements were annealed for four weeks at 340 °C or six months at 170 °C and quenched in cold water. The temperature program included two heating and cooling loops, starting from the annealing temperature and ending 50–100 °C above the estimated liquidus temperature. The heating rate was 5 K/min, the measured temperatures are summarized in Table 3, the DTA curves can be found in Fig. 2, and the corresponding invariant reactions are listed in Table 4. In addition, we generally performed measurements with heating rates of 10 K/min in order to observe the influence of the heating rate on the characteristic temperatures. There was no significant change in the transition temperatures when the heating rate was increased. The temperatures of the maxima of the melting peaks of all samples are consistent with the liquidus temperatures given in [3]. The solidus of the β phase, which was established by performing DTA measurements of five samples with 21–28 at% Sb, was also in agreement with the literature [3]. The reaction temperature as well as the liquidus concentration of 19 at% Sb for the eutectic reaction located at 645 °C () were confirmed based on three of our samples; see Table 3. However, samples at 10, 17.5, and 19.5 at% Sb showed some discrepancies from the data in the literature at temperatures below 645 °C [3]. Strong effects were observed in all three samples at temperatures of 467 and 484 °C. We allocated the effect at 467 °C to the reaction , which is described in the literature as occurring at 462 °C [3], and the effect at 484 °C to (which takes place at 488 °C according to the literature [3]). However, according to the phase relations [3], the effect at 467 °C should not be observable in the sample with 10 at% Sb in the first heating run. Surprisingly, this effect was even stronger in the second heating run. In order to clarify this discrepancy, we annealed this sample at 470 and 480 °C for 28 days. Both temperatures resulted in large amounts of (Cu) and γ, but also traces of the β phase (see Tables 5, 6). It is worth noting at this point that the β phase cannot be quenched; it mainly decomposes to the low-temperature phases δ and ε. Thus, we instead assume that (Cu) is in equilibrium with γ at both temperatures. Although the effect is clearly present at 467 °C in the sample with 10 at% Sb, we have decided not to change the previously accepted phase diagram given in the literature [3]. XRD analysis of Cu₉₀Sb₁₀ annealed at 435 °C and Cu_82.5Sb_17.5 annealed at 430 °C showed (Cu) and δ as equilibrium phases (see Fig. 3). According to the literature, these samples should both contain the γ phase [3]. Supported by an invariant reaction observed at 440 °C during DTA of Cu_82.5Sb_17.5, we fixed the eutectoid reaction at this temperature. This is additionally supported by the fact that the original source of the reaction temperature of 400 °C given in [3] could not be found and thus appears to be estimated. The peritectoid reaction was corroborated by DTA of samples with 21 and 22.5 at% Sb. However, the corresponding temperature (440 °C) differs slightly from the literature value (445 °C [3]). DTA of these samples should also show invariant reactions according to (390 °C) and (360 °C), and we did indeed find the reaction at 360 °C in Cu_87.5Sb_22.5 as a weak effect in the second heating run. However, we could not locate the peritectoid reaction at 390 °C. Thermal analysis of the samples with 24 and 26 at% Sb agreed well with the previously reported phase diagram [3] above 350 °C. On the other hand, DTA of samples annealed at 170 °C did not indicate the invariant reaction at 260 °C . Instead, we found two further signals at different temperatures that are possibly related to this reaction (24 at% Sb 323 °C, 26 at% Sb 302 °C; see also Table 3). Because XRD data for the samples with 21, 22.5, 24, and 26 at% Sb are consistent with the literature data [3], we kept the previously reported phase relations and reaction temperatures. Using the samples with 28 and 30 at% Sb, we were able to determine the temperature of the eutectoid reaction as 427 °C, which had previously been estimated as 440 °C ([3]: dashed lines, see Fig. 1). The liquidus and solidus curves allowed us to estimate the congruent melting point of the β phase at 690 °C and 29 at% Sb ([3], 683 °C). Finally, we also verified the eutectic reaction at 526 °C () and the peritectic reaction at 586 °C ().

Table 3.

Summary of measured thermal effects

No.	Nominal comp. /at%	Heat treatment	Thermal analysis
			Heating /°C			Cooling /°C
			Invariant effects	Other effects	Liquidus	Liquidus
1	Cu90Sb10	340 °C, 28 days	469, 482.2, 642.2		926.1	920.6
2	Cu82.5Sb17.5	340 °C, 28 days	440, 467.1, 485, 644.9		651.5	642.2
3	Cu80.5Sb19.5	340 °C, 28 days	461.8, 486.8	641.8	650.9	641.4
4	Cu79Sb21	340 °C, 28 days	443.5, 451.9	644.2	654.6	647.5
5	Cu77.5Sb22.5	340 °C, 28 days	360.5, 441.4	648.9	660.8	655.2
6	Cu76Sb24	170 °C, 6 months	(323.3)a, 363.3	436.8, 655	670.6	665.9
7	Cu74Sb26	170 °C, 6 months	(302.3)a, 375.8, 431.9	668.9	681.6	675.0
8	Cu72Sb28	340 °C, 28 days	428.6	433.8, 679.7	690.2	679.3
9	Cu70Sb30	Melt	426.7	470.3, 673.1	686.3	676.7
10	Cu60Sb40	340 °C, 28 days	525.8, 586.2		616.0	597.3
11	Cu35Sb65	340 °C, 28 days	524.8		539.9	506.6
12	Cu30Sb70	340 °C, 28 days	525.4		546.4	518.2
13	Cu25Sb75	340 °C, 28 days	526.5		553.9	517.7

^a Very weak effect

Fig. 2.

DTA curves of samples with 10–40 at% Sb

Table 4.

Comparison of reactions and temperatures published in the literature and found in this work

Invariant reactions	Temp. /°C: [1]	Temp. /°C: this work	Comments
	683	690	Estimated from liquidus curves
	645	645
	586	586
	526	526
	488	484
	462	467
	445	440
	440	427
	400	440
	390	390	Not detected, adopted from literature
	360	360
	260	260	Not detected, adopted from literature

Table 5.

Crystal structures and lattice parameters of quenched Cu–Sb samples

Sample	Heat treatment	Phase	Structure type	Lattice parameter /Å	Comment
Cu90Sb10	Melt 1,000 °C, 1 day	α = (Cu)	Fm-3m	a = 3.662(4)	Nonequilibrium (quenched from liquid)
		δ = Cu78Sb20	P6 3 /mmc	a = 19.035(3), c = 4.3285(9)
	340 °C, 28 days	α = (Cu)	Fm-3m	a = 3.64479(2)
		δ = Cu78Sb20	P6 3 /mmc	a = 19.0823(2), c = 4.32615(9)
	390 °C, 28 days	α = (Cu)	Fm-3m	a = 3.65393(6)
		δ = Cu78Sb20	P6 3 /mmc	a = 19.0421(4), c = 4.3260(2)
	420 °C, 28 days	α = (Cu)	Fm-3m	a = 3.66266(7)
		δ = Cu78Sb20	P6 3 /mmc	a = 19.0286(5), c = 4.3291(2)
	435 °C, 28 days	α = (Cu)	Fm-3m	a = 3.66487(9)
		δ = Cu78Sb20	P6 3 /mmc	a = 19.0074(4), c = 4.3281(1)
	450 °C, 28 days	α = (Cu)	Fm-3m	a = 3.6686(1)
		γ = Cu4Sb	P6 3 /mmc	a = 2.68573(9), c = 4.3274(3)
	470 °C, 28 days	α = (Cu)	Fm-3m	a = 3.62263(2)	β phase partially stabilized
		β = Cu3Sb	Fm-3m	a = 5.8105(1)
		γ = Cu4Sb	P6 3 /mmc	a = 3.3521(3), c = 2.8928(5)
	480 °C, 28 days	α = (Cu)	Fm-3m	a = 3.6719(1)	β phase partially stabilized
		β = Cu3Sb	Fm-3m	a = 5.9162(9)
		γ = Cu4Sb	P6 3 /mmc	a = 2.7527(4), c = 4.244(2)
	600 °C, 28 days	α = (Cu)	Fm-3m	a = 3.67907(7)
		γ = Cu4Sb	P6 3 /mmc	a = 2.74168(8), c = 4.3304(2)
		δ = Cu78Sb20	P6 3 /mmc	a = 19.101(3), c = 4.3307(8)
Cu82.5Sb17.5	Melt 1,000 °C, 1 day	δ = Cu78Sb20	P6 3 /mmc	a = 19.1198(4), c = 4.3273(1)	Nonequilibrium (quenched from liquid)
		ε = Cu3Sb	Pmmn	a = 5.5045(3), b = 4.3355(2), c = 4.7549(4)
	340 °C, 28 days	α = (Cu)	Fm-3m	a = 3.6482(9)
		δ = Cu78Sb20	P6 3 /mmc	a = 19.0836(1), c = 4.32763(4)
	430 °C, 28 days	α = (Cu)	Fm-3 m	a = 3.6676(7)
		δ = Cu78Sb20	P6 3 /mmc	a = 18.9911(2), c = 4.32639(8)
	470 °C, 28 days	γ = Cu4Sb	P6 3 /mmc	a = 2.69586(9), c = 4.3309(3)
		δ = Cu78Sb20	P6 3 /mmc	a = 19.0113(5), c = 4.3278(2)
	600 °C, 28 days	α = (Cu)	Fm-3m	a = 3.6805(4)	β phase partially stabilized
		β = Cu3Sb	Fm-3m	a = 5.9239(5)
		δ = Cu78Sb20	P6 3 /mmc	a = 19.1485(3), c = 4.3291(1)
Cu80.5Sb19.5	340 °C, 28 days	δ = Cu78Sb20	P6 3 /mmc	a = 19.1178(1), c = 4.32590(6)
Cu79.5Sb20.5	170 °C, 6 months	δ = Cu78Sb20	P6 3 /mmc	a = 19.1241(5), c = 4.3279(1)	Nonequilibrium (not sufficiently annealed)
		ζ = Cu10Sb3	P-3	a = 9.9335(1), c = 4.3227(1)
		η = Cu2Sb	P4/nmm	a = 4.0035(7), c = 6.087(2)
	280 °C, 28 days	δ = Cu78Sb20	P6 3 /mmc	a = 19.1476(2), c = 4.32586(9)
		ζ = Cu10Sb3	P-3	a = 9.90716(7), c = 4.32301(8)
	350 °C, 28 days	δ = Cu78Sb20	P6 3 /mmc	a = 19.1604(4), c = 4.3249(1)
		ζ = Cu10Sb3	P-3	a = 9.89815(8), c = 4.32278(6)
	420 °C, 28 days	δ = Cu78Sb20	P6 3 /mmc	a = 19.1655(1), c = 4.32620(3)
		ε = Cu3Sb	Pmmn	a = 5.493(2), b = 4.3468(2), c = 4.757(2)
Cu79Sb21	Melt 1,000 °C, 1 day	δ = Cu78Sb20	P6 3 /mmc	a = 19.1665(8), c = 4.3317(3)	Nonequilibrium (quenched from liquid)
		ε = Cu3Sb	Pmmn	a = 5.4977(3), b = 4.3301(1), c = 4.7698(2)
	340 °C, 28 days	ζ = Cu10Sb3	P-3	a = 9.90817(7), c = 4.32364(5)
	430 °C, 28 days	δ = Cu78Sb20	P6 3 /mmc	a = 19.1082(2), c = 4.32665(9)
		ε = Cu3Sb	Pmmn	a = 5.4920(2), b = 4.34468(8), c = 4.7510(2)
	470 °C, 28 days	β = Cu3Sb	Fm-3m	a = 6.0108(8)	β phase partially stabilized
		δ = Cu78Sb20	P6 3 /mmc	a = 19.1990(2), c = 4.33742(8)
		ε = Cu3Sb	Pmmn	a = 5.443(1), b = 4.3296(3), c = 4.711(1)
Cu77.5Sb22.5	Melt 1,000 °C, 1 day	δ = Cu78Sb20	P6 3 /mmc	a = 19.2303(6), c = 4.3342(2)	Nonequilibrium (quenched from liquid)
		ε = Cu3Sb	Pmmn	a = 5.5054(5), b = 4.3409(2), c = 4.7631(5)
	340 °C, 28 days	ζ = Cu10Sb3	P-3	a = 9.92390(6), c = 4.32223(5)
		η = Cu2Sb	P4/nmm	a = 4.0018(2), c = 6.1031(5)
	430 °C, 28 days	δ = Cu78Sb20	P6 3 /mmc	a = 19.156(1), c = 4.3273(4)
		ε = Cu3Sb	Pmmn	a = 5.49427(9), b = 4.34601(5), c = 4.75169(9)
	450 °C, 28 days	δ = Cu78Sb20	P6 3 /mmc	a = 19.022(5), c = 4.4541(9)	Nonequilibrium: β phase decomposed during quenching
		ε = Cu3Sb	Pmmn	a = 5.3831(5), b = 4.2871(5), c = 5.0467(6)
		η = Cu2Sb	P4/nmm	a = 4.2732(3), c = 5.7367(7)
	470 °C, 28 days	δ = Cu78Sb20	P6 3 /mmc	a = 18.973(4), c = 4.4484(8)	Nonequilibrium: β phase decomposed during quenching
		ε = Cu3Sb	Pmmn	a = 5.3763(7), b = 4.2818(5), c = 5.0382(5)
		η = Cu2Sb	P4/nmm	a = 4.2675(2), c = 5.7335(7)
	600 °C, 28 days	δ = Cu78Sb20	P6 3 /mmc	a = 18.992(4), c = 4.4519(8)	Nonequilibrium: β phase decomposed during quenching
		ε = Cu3Sb	Pmmn	a = 5.3810(9), b = 4.2812(6), c = 5.0447(6)
		η = Cu2Sb	P4/nmm	a = 4.2667(2), c = 5.7424(7)
Cu76Sb24	170 °C, 6 months	δ = Cu78Sb20	P6 3 /mmc	a = 19.1412(1), c = 4.32539(6)
		η = Cu2Sb	P4/nmm	a = 4.00170(4), c = 6.1027(1)
	280 °C, 28 days	ζ = Cu10Sb3	P-3	a = 9.92096(5), c = 4.32247(4)
		η = Cu2Sb	P4/nmm	a = 4.00200(4), c = 6.1038(1)
	340 °C, 28 days	ζ = Cu10Sb3	P-3	a = 9.92319(6), c = 4.32294(4)
		η = Cu2Sb	P4/nmm	a = 4.00364(5), c = 6.1042(2)
	400 °C, 28 days	ε = Cu3Sb	Pmmn	a = 5.5064(3), b = 4.35302(4), c = 4.7680(2)
Cu74Sb26	170 °C, 6 months	α = (Cu)	Fm-3m	a = 3.6216(1)	Nonequilibrium (not sufficiently annealed)
		δ = Cu78Sb20	P6 3 /mmc	a = 19.1335(5), c = 4.3248(1)
		ζ = Cu10Sb3	P-3	a = 9.9149(3), c = 4.3213(2)
		η = Cu2Sb	P4/nmm	a = 4.00201(3), c = 6.10281(9)
	280 °C, 28 days	ζ = Cu10Sb3	P-3	a = 9.91867(6), c = 4.32272(4)
		η = Cu2Sb	P4/nmm	a = 4.00203(2), c = 6.10400(8)
	340 °C, 28 days	ζ = Cu10Sb3	P-3	a = 9.91806(9), c = 4.32282(7)
		η = Cu2Sb	P4/nmm	a = 4.00295(4), c = 6.1034(1)
	400 °C, 28 days	ε = Cu3Sb	Pmmn	a = 5.5090(1), b = 4.35420(5), c = 4.7757(1)
		η = Cu2Sb	P4/nmm	a = 4.00147(8), c = 6.1038(2)
Cu72Sb28	Melt 1,000 °C, 1 day	ε = Cu3Sb	Pmmn	a = 5.5132(2), b = 4.35595(8), c = 4.7800(1)	Nonequilibrium (quenched from liquid)
		η = Cu2Sb	P4/nmm	a = 4.00218(5), c = 6.1043(1)
	340 °C, 28 days	ζ = Cu10Sb3	P-3	a = 9.9206(1), c = 4.3219(1)
		η = Cu2Sb	P4/nmm	a = 4.00138(3), c = 6.1032(1)
	430 °C, 28 days	ε = Cu3Sb	Pmmn	a = 5.5197(2), b = 4.36081(9), c = 4.7898(2)
		η = Cu2Sb	P4/nmm	a = 4.00352(4), c = 6.1059(1)
	600 °C, 28 days	β = Cu3Sb	Fm-3m	a = 5.9979(9)	β phase partially stabilized
		ε = Cu3Sb	Pmmn	a = 5.3919(8), b = 4.2688(7), c = 5.0588(7)
		η = Cu2Sb	P4/nmm	a = 4.00016(7), c = 6.0977(2)
Cu70Sb30	430 °C, 28 days	ε = Cu3Sb	Pmmn	a = 5.5157(2), b = 4.35768(8), c = 4.7830(1)
		η = Cu2Sb	P4/nmm	a = 4.00130(3), c = 6.10265(8)
	470 °C, 28 days	β = Cu3Sb	Fm-3m	a = 6.0384(9)	β phase partially stabilized
		ε = Cu3Sb	Pmmn	a = 5.5113(5), b = 4.3558(2), c = 4.7796(4)
		η = Cu2Sb	P4/nmm	a = 4.00302(2), c = 6.10545(7)
	600 °C, 28 days	β = Cu3Sb	Fm-3m	a = 6.035(3)	β phase partially stabilized
		ε = Cu3Sb	Pmmn	a = 5.5039(3), b = 4.3540(1), c = 4.7787(2)
		η = Cu2Sb	P4/nmm	a = 4.00170(3), c = 6.10306(8)
Cu60Sb40	Melt 1000 °C, 1 day	η = Cu2Sb	P4/nmm	a = 4.00231(2), c = 6.10442(8)	Nonequilibrium (quenched from liquid)
		θ = (Sb)	R-3m	a = 4.3060(1), c = 11.2701(7)
	340 °C, 28 days	η = Cu2Sb	P4/nmm	a = 4.00172(3), c = 6.10443(9)
		θ = (Sb)	R-3m	a = 4.3066(1), c = 11.2689(6)
	470 °C, 28 days	η = Cu2Sb	P4/nmm	a = 4.00204(2), c = 6.10431(7)
		θ = (Sb)	R-3m	a = 4.30686(9), c = 11.2708(5)
	600 °C, 28 days	η = Cu2Sb	P4/nmm	a = 4.00239(2), c = 6.10462(8)	Nonequilibrium (quenched from liquid)
		θ = (Sb)	R-3m	a = 4.3072(1), c = 11.2720(5)
Cu35Sb65	340 °C, 28 days	η = Cu2Sb	P4/nmm	a = 4.00106(5), c = 6.1026(1)
		θ = (Sb)	R-3m	a = 4.30569(6), c = 11.2658(3)
	535 °C, 28 days	η = Cu2Sb	P4/nmm	a = 4.00165(5), c = 6.1029(1)	Nonequilibrium (quenched from liquid)
		θ = (Sb)	R-3m	a = 4.30639(4), c = 11.2707(2)
Cu30Sb70	340 °C, 28 days	η = Cu2Sb	P4/nmm	a = 4.00218(4), c = 6.1043(1)
		θ = (Sb)	R-3m	a = 4.30709(5), c = 11.2701(2)
	535 °C, 28 days	η = Cu2Sb	P4/nmm	a = 4.00065(7), c = 6.1018(2)	Nonequilibrium (quenched from liquid)
		θ = (Sb)	R-3m	a = 4.30563(4), c = 11.2650(2)
Cu25Sb75	340 °C, 28 days	η = Cu2Sb	P4/nmm	a = 4.00206(5), c = 6.1040(1)
		θ = (Sb)	R-3m	a = 4.30703(4), c = 11.2702(2)
	535 °C, 28 days	η = Cu2Sb	P4/nmm	a = 4.00151(7), c = 6.1029(2)	Nonequilibrium (quenched from liquid)
		θ = (Sb)	R-3m	a = 4.30667(7), c = 11.2690(2)

Table 6.

Detected phases in quenched samples

Sample	Annealing temperature (°C)
	Melt	170	280	340	350	420	390	400	430	420	435	450	470	480	535	600
Cu90Sb10	(Cu) δ			(Cu) δ			(Cu) δ			(Cu) δ	(Cu) δ	(Cu) δ	(Cu) β, γ	(Cu) β, γ		(Cu) γ, δ
Cu82.5Sb17.5	δ, ε			(Cu) δ					Cu, δ				γ, δ			(Cu) β, δ
Cu80.5Sb19.5				δ
Cu79.5Sb20.5		δ, ζ, η	δ, ζ		δ, ζ	δ, ε
Cu79Sb21	δ, ε			ζ					δ, ε				β, δ, ε
Cu77.5Sb22.5	δ, ε			ζ, η					δ, ε			δ, ε, η	δ, ε, η			δ, ε, η
Cu76Sb24		δ, η	ζ, η	ζ, η				ε
Cu74Sb26		(Cu) δ, ζ, η	ζ, η	ζ, η				ε, η
Cu72Sb28	ε, η			ζ, η					ε, η							β, ε, η
Cu70Sb30									ε, η				β, ε, η			β, ε, η
Cu60Sb40	η, (Sb)			η, (Sb)									η, (Sb)			η, (Sb)
Cu35Sb65				η, (Sb)											η, (Sb)
Cu30Sb70				η, (Sb)											η, (Sb)
Cu25Sb75				η, (Sb)											η, (Sb)

Bold-underlined quenched from liquid, bold insufficiently annealed, italic-underlined decomposition of β phase

Fig. 3.

XRD patterns of quenched Cu₉₀Sb₁₀ and Cu_82.5Sb_17.5 samples annealed at different temperatures

To investigate the solubility ranges of the phases, we performed SEM/EDX measurements on polished samples. We were especially interested in determining the ranges of homogeneity of the phases that had been only tentatively fixed in the literature ([3], dashed lines). All of the results of the EDX measurements along with BSE images of the examined samples can be found in Table 7. Overall, the ranges of homogeneity were found to fit well to the currently accepted phase diagram in the literature [3]. The solubility limits indicated by the dashed lines for the ε phase, η phase, and the high-temperature region of the δ phase were determined. For the ε phase, an extension of the phase field to higher Sb concentrations than those estimated in the literature [3] was observed, and the η phase was also found to occur at higher Sb concentrations (see Tables 7, 8; Fig. 4). Even the very narrow two-phase field between the δ and the ζ phases was confirmed by EDX and XRD measurements of the sample with 20.5 at% Sb (see Table 5).

Table 7.

ESEM/EPMA results of Cu–Sb phase compositions

Sample	Ann. temp. /°C	Phase 1 (dark)			Phase 2 (bright)			SEM image
			at% Cu	at% Sb		at% Cu	at% Sb
Cu90Sb10	600	(Cu)	93.0	7.0	βCu	80.2	19.8
	450	(Cu)	93.9	6.1	γCu	82.3	17.7
	340	(Cu)	96.0	4.0	δCu	78.8	21.2
Cu82.5Sb17.5	600	(Cu)	93.7	7.0	δCu	81.0	19.0
	470	γSb	81.7	18.3	δCu	80.0	20.0
Cu79.5Sb20.5	350	ζCu	77.2	22.8	δSb	78.0	22.0
Cu79Sb21	470	δSb	79.5	20.5	εCu	76.2	23.8
Cu77.5Sb22.5	430	δSb	79.6	20.4	εCu	76.7	23.4
Cu76Sb24	170	δSb (+ small crystals of η)	77.5	22.5	ηCu	66	34.0
Cu74Sb26	400	εSb	74.4	25.6	ηCu	65.2	34.8
Cu72Sb28	430	εSb	73.7	26.3	ηCu	64.7	35.3
	340	ζSb	78.0	22.0	ηCu	65.5	34.5
Cu60Sb40	470	ηSb	64	36	(Sb)	0.1	99.9

Table 8.

Comparison of temperature-invariant reactions in the Cu–Sb system in this work and in [1]

Reaction	Composition /at% Sb			Temp. /°C	Reaction type
		29.0 (29.0)		690 (683)	Congruent melt
	7.8 (5.8)	17.7 (19)	20.4 (19.5)	645 (645)	Eutectic
	31.0b	35.5 (33.5)	46.0b	586 (586)	Peritectic
	35.5 (33.5)	63.0b	99.9 (99.9)	526 (526)	Eutectic
	6.4 (5.65)	16.5 (15.5)	20.7 (21.5)	484 (488)	Peritectoid
	17.5 (16.5)	19.5 (19.0)	21.5 (24.0)	467 (462)	Peritectoid
	20.2 (19.5)	22.3 (23.0)	23.9 (25.5)	440 (445a)	Peritectoid
	26.3 (25.5)	29.3 (26.5)	34.2 (32.0)	427 (440a)	Eutectoid
	5.0 (4.6)	16.5 (15.5)	19.0 (18.5)	440 (400)	Eutectoid
	20.2 (20.0)	20.8 (21.5)	23.2 (23.5)	390a,b	Peritectoid
	22.2 (22.5)	24.0 (24.0)	34.4 (32.5)	360 (360)	Eutectoid
	20.2 (20.0)	20.8 (21.5)	34.4 (32.5)	260 (260a)	Eutectoid

Values in parentheses are from the literature [1]

^a Uncertain values

^b Value from [1]

Fig. 4.

New version of the Cu–Sb phase diagram

Experimental

Sample preparation

Samples with 10–75 at% Sb (see Table 9) were prepared from 99.98% Cu (Goodfellow, Cambridge, UK; treated under an H₂ flow at 200 °C for 5 h to remove oxide layers) and 99.999% Sb (Alfa Aesar, Karlsruhe, Germany; the surface oxide layer was removed by filtration of the melt through quartz glass wool). Weighed amounts of the metals were sealed in quartz glass ampoules under vacuum (~10⁻³ mbar) and alloyed in a resistance furnace at 1,000 °C for a few hours. Annealing was performed again in evacuated quartz glass ampoules for 28 days at selected temperatures (170–600 °C, annealing time at 170 °C was 6 months). Finally, the alloys were quenched in cold water.

Table 9.

Annealing temperatures

Sample	Annealing temperature /°C
Cu90Sb10	Melt			340			390		420		435	450	470	480		600
Cu82.5Sb17.5	Melt			340						430			470			600
Cu80.5Sb19.5	Melt			340
Cu79.5Sb20.5	Melt	170	280		350	420
Cu79Sb21	Melt			340						430			470
Cu77.5Sb22.5	Melt			340						430		450	470			600
Cu76Sb24	Melt	170	280	340				400
Cu74Sb26	Melt	170	280	340				400
Cu72Sb28	Melt			340						430						600
Cu70Sb30	Melt									430			470			600
Cu60Sb40	Melt			340									470			600
Cu35Sb65	Melt			340											535
Cu30Sb70	Melt			340											535
Cu25Sb75	Melt			340											535

Underlined only XRD, bold XRD/ESEM, italics XRD/ESEM/DTA

Analytical methods

Experimental techniques applied were powder X-ray diffraction (XRD), thermal analysis (DTA), and metallographic methods (EPMA/ESEM). Thermal analysis was done with a TG/DTA Setsys Evolution instrument from Setaram. The measurements were performed in open alumina crucibles under an Ar atmosphere; slices of Ti sheet in the second crucible were used as reference material.

The powder XRD measurements were done on a Bruker D8 diffractometer (θ/2θ geometry) at ambient temperature. X-rays were produced in a copper radiation source at an accelerating voltage of 40 kV and with an electron current of 40 mA. A Ni filter was used to remove the K_β radiation. The powder was fixed with petroleum jelly on a silicon monocrystal sample carrier, which was rotated during the measurement. The detection unit was the Lynxeye strip detector. Rietveld refinement of the data was done with the Topas3^® software provided by Bruker AXS.

An optical microscope (Zeiss Axiotech 100 reflected light microscope) as well as EDX techniques (energy-dispersive spectroscopy; ESEM Zeiss Supra 55 VP) were used for metallographic investigations. In the ESEM, the excitation energy of the electron beam was 15–20 kV. Backscattered electrons were detected in order to visualize the surfaces of our samples. The characteristic spectral lines were used for EDX: the Cu K line and the Sb L line.