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Room-temperature performance of 3 mm-thick cadmium–zinc–telluride pixel detectors with sub-millimetre pixelization

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aDepartment of Physics and Chemistry (DiFC) – Emilio Segrè, University of Palermo, Viale delle Scienze, Edificio 18, 90128 Palermo, Italy, bIMEM/CNR, Parco Area delle Scienze 37/A, 43100 Parma, Italy, cScience and Technology Facilities Council, Rutherford Appleton Laboratory, Chilton, Oxfordshire OX11 0QX, United Kingdom, and dB16 Beamline, Diamond Light Source, Fermi Avenue, Didcot, United Kingdom
*Correspondence e-mail: leonardo.abbene@unipa.it

Edited by S. Svensson, Uppsala University, Sweden (Received 22 December 2019; accepted 1 July 2020; online 17 August 2020)

Cadmium–zinc–telluride (CZT) pixel detectors represent a consolidated choice for the development of room-temperature spectroscopic X-ray imagers, finding important applications in medical imaging, often as detection modules of a variety of new SPECT and CT systems. Detectors with 3–5 mm thicknesses are able to efficiently detect X-rays up to 140 keV giving reasonable room-temperature energy resolution. In this work, the room-temperature performance of 3 mm-thick CZT pixel detectors, recently developed at IMEM/CNR of Parma (Italy), is presented. Sub-millimetre detector arrays with pixel pitch less than 500 µm were fabricated. The detectors are characterized by good room-temperature performance even at high bias voltage operation (6000 V cm−1), with energy resolutions (FWHM) of 3% (1.8 keV) and 1.6% (2 keV) at 59.5 keV and 122.1 keV, respectively. Charge-sharing investigations were performed with both uncollimated and collimated synchrotron X-ray beams with particular attention to recovering the charge losses at the inter-pixel gap region. High rate measurements demonstrated the absence of high-flux radiation-induced polarization phenomena up to 25 × 106 photons mm−2 s−1.

1. Introduction

Nowadays, cadmium zinc telluride (CdZnTe or CZT) is a consolidated semiconductor material for room-temperature radiation detection (Del Sordo et al., 2009[Del Sordo, S., Abbene, L., Caroli, E., Mancini, A. M., Zappettini, A. & Ubertini, P. (2009). Sensors, 9, 3491-3526.]; Johns & Nino, 2019[Johns, P. M. & Nino, J. C. (2019). J. Appl. Phys. 126, 040902.]; Owens & Peacock, 2004[Owens, A. & Peacock, A. (2004). Nucl. Instrum. Methods Phys. Res. A, 531, 18-37.]; Takahashi & Watanabe, 2001[Takahashi, T. & Watanabe, S. (2001). IEEE Trans. Nucl. Sci. 48, 950-959.]). The success of this compound semiconductor for X-ray and gamma ray detection, aside from its appealing physical properties (high atomic number, wide band gap, high density), can mainly be attributed to the important advancements of crystal growth and device fabrication technologies (Abbene et al., 2016[Abbene, L., Gerardi, G., Turturici, A. A., Raso, G., Benassi, G., Bettelli, M., Zambelli, N., Zappettini, A. & Principato, F. (2016). Nucl. Instrum. Methods Phys. Res. A, 835, 1-12.], 2020[Abbene, L., Principato, F., Gerardi, G., Buttacavoli, A., Cascio, D., Bettelli, M., Amadè, N. S., Seller, P., Veale, M. C., Fox, O., Sawhney, K., Zanettini, S., Tomarchio, E. & Zappettini, A. (2020). J. Synchrotron Rad. 27, 319-328.]; Chen et al., 2008[Chen, H., Awadalla, S. A., Iniewski, K., Lu, P. H., Harris, F., Mackenzie, J., Hasanen, T., Chen, W., Redden, R., Bindley, G., Kuvvetli, I., Budtz-Jørgensen, C., Luke, P., Amman, M., Lee, J. S., Bolotnikov, A. E., Camarda, G. S., Cui, Y., Hossain, A. & James, R. B. (2008). J. Appl. Phys. 103, 014903.]; Iniewski, 2014[Iniewski, K. (2014). J. Instrum. 9, C11001.]; Prokesch et al., 2018[Prokesch, M., Soldner, S. A. & Sundaram, A. G. (2018). J. Appl. Phys. 124, 044503.]; Szeles et al., 2008[Szeles, C., Soldner, S. A., Vydrin, S., Graves, J. & Bale, D. S. (2008). IEEE Trans. Nucl. Sci. 55, 572-582.]; Zappettini et al., 2009[Zappettini, A., Zha, M., Marchini, L., Calestani, D., Mosca, R., Gombia, E., Zanotti, L., Zanichelli, M., Pavesi, M., Auricchio, N. & Caroli, E. (2009). IEEE Trans. Nucl. Sci. 56, 1743-1746.]). Currently, the best spectroscopic-grade CZT crystals are fabricated using the travelling heater method (THM) growth technique (Chen et al., 2008[Chen, H., Awadalla, S. A., Iniewski, K., Lu, P. H., Harris, F., Mackenzie, J., Hasanen, T., Chen, W., Redden, R., Bindley, G., Kuvvetli, I., Budtz-Jørgensen, C., Luke, P., Amman, M., Lee, J. S., Bolotnikov, A. E., Camarda, G. S., Cui, Y., Hossain, A. & James, R. B. (2008). J. Appl. Phys. 103, 014903.]; Iniewski, 2014[Iniewski, K. (2014). J. Instrum. 9, C11001.]; Prokesch et al., 2018[Prokesch, M., Soldner, S. A. & Sundaram, A. G. (2018). J. Appl. Phys. 124, 044503.]; Veale et al., 2020[Veale, M. C., Booker, P., Cross, S., Hart, M. D., Jowitt, L., Lipp, J., Schneider, A., Seller, P., Wheater, R. M., Wilson, M. D., Hansson, C. C. T., Iniewski, K., Marthandam, P. & Prekas, G. (2020). Sensors, 20, 2747.]). If compared with other high-Z and wide-bandgap compound semiconductors (Del Sordo et al., 2009[Del Sordo, S., Abbene, L., Caroli, E., Mancini, A. M., Zappettini, A. & Ubertini, P. (2009). Sensors, 9, 3491-3526.]; Owens & Peacock, 2004[Owens, A. & Peacock, A. (2004). Nucl. Instrum. Methods Phys. Res. A, 531, 18-37.]), the charge transport properties of THM-grown CZT crystals are very impressive, with mobility-lifetime products of electrons μeτe greater than 10−2 cm2 V−1. However, aside from the characteristics of the crystals, the electrical contacts of the detectors also play a crucial role. In general, the electrical contacts of a detector should ensure high bias voltage operation to optimize the charge collection process and, at the same time, maintain the leakage currents (i.e. the related electronic noise) to be as low as possible. Typically, CZT detectors are fabricated with quasi-ohmic electrical contacts (gold, platinum), allowing electric fields greater than 3000 V cm−1 (Chen et al., 2008[Chen, H., Awadalla, S. A., Iniewski, K., Lu, P. H., Harris, F., Mackenzie, J., Hasanen, T., Chen, W., Redden, R., Bindley, G., Kuvvetli, I., Budtz-Jørgensen, C., Luke, P., Amman, M., Lee, J. S., Bolotnikov, A. E., Camarda, G. S., Cui, Y., Hossain, A. & James, R. B. (2008). J. Appl. Phys. 103, 014903.]; Iniewski, 2014[Iniewski, K. (2014). J. Instrum. 9, C11001.]; Prokesch et al., 2018[Prokesch, M., Soldner, S. A. & Sundaram, A. G. (2018). J. Appl. Phys. 124, 044503.]), a moderate leakage current (<20 nA cm−2 at 1000 V cm−1) (Awadalla et al., 2014[Awadalla, S. A., Al-Grafi, M. & Iniewski, K. (2014). Nucl. Instrum. Methods Phys. Res. A, 764, 193-197.]; Bell et al., 2015[Bell, S. J., Baker, M. A., Duarte, D. D., Schneider, A., Seller, P., Sellin, P. J., Veale, M. C. & Wilson, M. D. (2015). J. Phys. D Appl. Phys. 48, 275304.]) and no bias-induced polarization phenomena (Farella et al., 2009[Farella, I., Montagna, G., Mancini, A. M. & Cola, A. (2009). IEEE Trans. Nucl. Sci. 56, 1736-1742.]; Principato et al., 2013[Principato, F., Turturici, A. A., Gallo, M. & Abbene, L. (2013). Nucl. Instrum. Methods Phys. Res. A, 730, 141-145.]; Turturici et al., 2014[Turturici, A. A., Abbene, L., Gerardi, G. & Principato, F. (2014). Nucl. Instrum. Methods Phys. Res. A, 763, 476-482.]).

Recently, THM-grown CZT detectors with high bias voltage operation were fabricated at IMEM/CNR of Parma (Italy) (Abbene et al., 2017a[Abbene, L., Gerardi, G., Raso, G., Principato, F., Zambelli, N., Benassi, G., Bettelli, M. & Zappettini, A. (2017a). J. Synchrotron Rad. 24, 429-438.],b[Abbene, L. et al. (2017b). IEEE Nucl. Sci. Symp. Conf. Rec. 8069962.]). Planar CZT samples with customized gold electroless contacts were realized, ensuring low leakage currents (<5 nA cm−2 at 1000 V cm−1) and good room-temperature operation even at high bias voltages (>5000 V cm−1) (Abbene et al., 2017a[Abbene, L., Gerardi, G., Raso, G., Principato, F., Zambelli, N., Benassi, G., Bettelli, M. & Zappettini, A. (2017a). J. Synchrotron Rad. 24, 429-438.],b[Abbene, L. et al. (2017b). IEEE Nucl. Sci. Symp. Conf. Rec. 8069962.]). As a further step, we developed new THM-grown CZT pixel detectors with sub-millimetre pixelization. The detectors, with pixel pitches of 500 µm and 250 µm, are characterized by a thickness of 3 mm, which is appealing as it enables us to efficiently detect X-rays up to 140 keV. Several research groups have recently focused on the development of 3 mm-thick CZT pixel detectors for energy-resolved X-ray imaging (Barber et al., 2015[Barber, W. C., Wessel, J. C., Nygard, E. & Iwanczyk, J. S. (2015). Nucl. Instrum. Methods Phys. Res. A, 784, 531-537.]; Brambilla et al., 2012[Brambilla, A., Ouvrier-Buffet, P., Rinkel, J., Gonon, G., Boudou, C. & Verger, L. (2012). IEEE Trans. Nucl. Sci. 59, 1552-1558.], 2013[Brambilla, A., Ouvrier-Buffet, P., Gonon, G., Rinkel, J., Moulin, V., Boudou, C. & Verger, L. (2013). IEEE Trans. Nucl. Sci. 60, 408-415.]; Del Sordo et al., 2004[Del Sordo, S., Strazzeri, M., Agnetta, G., Biondo, B., Celi, F., Guarrusso, S., Mangano, A., Russo, F., Caroli, E., Donati, A., Schiavone, F., Stephen, J. B., Ventura, G., Abbene, L., Fauci, F., Raso, G. & Pareachi, G. (2004). Nuovo Cimento B, 119, 257-270.], 2005[Del Sordo, S., Abbene, L., Zora, M., Agnetta, G., Biondo, B., Mangano, A., Russo, F., Caroli, E., Auricchio, N., Donati, A., Schiavone, F., Stephen, J. B., Ventura, G., Bertuccio, G., Caccia, S. & Sampietro, M. (2005). IEEE Trans. Nucl. Sci. 52, 3091-3095.]; Iwanczyk et al., 2009[Iwanczyk, J., Nygård, E., Meirav, O., Arenson, J., Barber, W. C., Hartsough, N. E., Malakhov, N. & Wessel, J. C. (2009). IEEE Trans. Nucl. Sci. 56, 535-542.]).

The aim of this work is to present the room-temperature performance of these new CZT pixel detectors, recently developed at IMEM/CNR Parma, Italy. The detector signals were amplified with low-noise preamplifiers (ASIC) and processed with multichannel digital electronics. Spectroscopic investigations with both uncollimated and collimated X-ray beams were performed, with particular attention given to the charge-sharing and charge-loss effects in the energy spectra.

2. Detectors and electronics

CZT pixel detectors with a thickness of 3 mm were realized at IMEM/CNR (Parma, Italy; https://www.imem.cnr.it). The detectors were fabricated from commercial CZT crystals (provided by Redlen Technologies, Victoria, BC, Canada) grown by the THM technique. As is well known (Chen et al., 2008[Chen, H., Awadalla, S. A., Iniewski, K., Lu, P. H., Harris, F., Mackenzie, J., Hasanen, T., Chen, W., Redden, R., Bindley, G., Kuvvetli, I., Budtz-Jørgensen, C., Luke, P., Amman, M., Lee, J. S., Bolotnikov, A. E., Camarda, G. S., Cui, Y., Hossain, A. & James, R. B. (2008). J. Appl. Phys. 103, 014903.]; Iniewski, 2014[Iniewski, K. (2014). J. Instrum. 9, C11001.]), Redlen (https://redlen.ca) is able to produce spectroscopic-grade CZT crystals with excellent charge-transport properties (mobility-lifetime products of electrons μeτe > 10−2 cm2 V−1). In this work, we used CZT crystals characterized by μeτe ranging from 1 × 10−2 cm2 V−1 to 3 × 10−2 cm2 V−1 (Abbene et al., 2017a[Abbene, L., Gerardi, G., Raso, G., Principato, F., Zambelli, N., Benassi, G., Bettelli, M. & Zappettini, A. (2017a). J. Synchrotron Rad. 24, 429-438.]). Gold electroless contacts were realized on both the anode (prepared using water solutions) and the cathode (prepared using alcoholic solutions) of all CZT samples (Benassi et al., 2017[Benassi, G., Nasia, L., Bettellia, M., Zambelli, N., Calestania, D. & Zappettinia, A. (2017). J. Instrum. 12, P02028.]; Marchini et al., 2009[Marchini, L., Zappettini, A., Gombia, E., Mosca, R., Lanata, M. & Pavesi, M. (2009). IEEE Trans. Nucl. Sci. 56, 1823-1826.]). As shown in Fig. 1[link], four arrays of 3 × 3 pixels with pixel pitches of 500 µm and 250 µm were created on the anode surface; the arrays are surrounded by a guard-ring electrode, while the cathode is a planar electrode covering the detector surface. The width of the inter-pixel gaps for all arrays is equal to 50 µm. Two detectors with the same anode and cathode geometry were developed and tested, showing similar spectroscopic performance.

[Figure 1]
Figure 1
Photograph of a 3 mm-thick THM-grown CZT detector (anode side-view). The four arrays of 3 × 3 pixels with pixel pitches of 500 µm and 250 µm are clearly visible.

The pixels of the detectors were DC-coupled to analog charge-sensitive preamplifiers (CSPs) and processed by multichannel digital pulse processing (DPP) electronics. A low-noise ASIC (PIXIE ASIC), developed at RAL (Didcot, UK) (Allwork et al., 2012[Allwork, C., Kitou, D., Chaudhuri, S., Sellin, P. J., Seller, P., Veale, M. C., Tartoni, N. & Veeramani, P. (2012). IEEE Trans. Nucl. Sci. 59, 1563-1568.]; Veale et al., 2011[Veale, M. C., Bell, S. J., Jones, L. L., Seller, P., Wilson, M. D., Allwork, C., Kitou, D., Sellin, P. J., Veeramani, P. & Cernik, R. C. (2011). IEEE Trans. Nucl. Sci. 58, 2357-2362.]), was flip-chip bonded directly to the detector pixels. The bonding process was performed at RAL by low-temperature curing (<150°C) silver-loaded ep­oxy and the gold stud bonding technique (Schneider et al., 2015[Schneider, A., Veale, M. C., Duarte, D. D., Bell, S. J., Wilson, M. D., Lipp, J. D. & Seller, P. (2015). J. Instrum. 10, C02010.]).

The output waveforms from the PIXIE ASIC were digitized and processed online by 16-channel digital electronics, developed at DiFC of the University of Palermo (Italy) (Abbene et al., 2013a[Abbene, L., Gerardi, G. & Principato, F. (2013a). Nucl. Instrum. Methods Phys. Res. A, 730, 124-128.],b[Abbene, L., Gerardi, G., Turturici, A. A., Del Sordo, S. & Principato, F. (2013b). Nucl. Instrum. Methods Phys. Res. A, 730, 135-140.]; Abbene & Gerardi, 2015[Abbene, L. & Gerardi, G. (2015). J. Synchrotron Rad. 22, 1190-1201.]; Gerardi & Abbene, 2014[Gerardi, G. & Abbene, L. (2014). Nucl. Instrum. Methods Phys. Res. A, 768, 46-54.]). The digital electronics are based on commercial digitizers (DT5724, 16 bit, 100 MS s−1, CAEN SpA, Italy; https://www.caen.it), where an original firmware was uploaded (Abbene & Gerardi, 2015[Abbene, L. & Gerardi, G. (2015). J. Synchrotron Rad. 22, 1190-1201.]; Gerardi & Abbene, 2014[Gerardi, G. & Abbene, L. (2014). Nucl. Instrum. Methods Phys. Res. A, 768, 46-54.]). The digital analysis performs the shaping of the output waveform from the detector-ASIC using the classical single-delay line (SDL) shaping technique (Knoll, 2000[Knoll, G. F. (2000). Radiation Detection and Measurement. New York: John Wiley.]). The delay time acts as the shaping time constant of a standard shaping amplifier. Moreover, to increase the signal-to-noise ratio (SNR) we also performed a further shaping with a trapezoidal filtering. Here we used a delay time of 200 ns. A detailed description of the digital analysis is reported in our previous works (Abbene & Gerardi, 2015[Abbene, L. & Gerardi, G. (2015). J. Synchrotron Rad. 22, 1190-1201.]; Gerardi & Abbene, 2014[Gerardi, G. & Abbene, L. (2014). Nucl. Instrum. Methods Phys. Res. A, 768, 46-54.]).

3. Experimental

Uncollimated radiation sources were used to characterize the detectors (109Cd: 22.1 keV, 24.9 keV and 88.1 keV; 241Am: 59.5 keV and 26.3 keV; 57Co: 122.1 keV and 136.5 keV). The 57Co energy spectra also feature W fluorescent lines produced in the tungsten source backing (Kα1 = 59.3 keV, Kα2 = 58.0 keV, Kβ1 = 67.2 keV, Kβ3 = 66.9 keV). The source holders shield the 14 keV gamma line of the 57Co source and the Np L X-ray lines of the 241Am source. The detectors were irradiated through the cathode side and negative cathode bias voltages were applied. Collimated micro-beams were also used at the B16 test beamline at the Diamond Light Source synchrotron (Didcot, UK; https://www.diamond.ac.uk/Beamlines/Materials/B16). All measurements were performed at room temperature (T = 20°C).

4. Spectroscopic response of the detectors

Preliminary measurements involved investigations on the spectroscopic response of the detectors at different bias voltages. Fig. 2[link] shows the main photopeaks (122 keV and 136 keV) of the measured 57Co energy spectra of a tested pixel of the large array (array 3: pixel pitch of 500 µm) at different cathode bias voltages, up to the electrical limits of the components of the bias voltage filters (2000 V). At room temperature, we obtained the best energy resolution of 1.6% (2 keV) full width at half-maximum (FWHM) at 122.1 keV at a bias voltage of 1800 V (6000 V cm−1) (input counting rate ICR < 600 counts s−1). This result highlights the high bias voltage operation of the detectors, strongly related to the good characteristics of the electrical contacts. Despite the quasi-ohmic contacts of the electrodes, the detectors allow low-leakage currents, as already shown in previous investigations with planar electrode structures (Abbene et al., 2017a[Abbene, L., Gerardi, G., Raso, G., Principato, F., Zambelli, N., Benassi, G., Bettelli, M. & Zappettini, A. (2017a). J. Synchrotron Rad. 24, 429-438.],b[Abbene, L. et al. (2017b). IEEE Nucl. Sci. Symp. Conf. Rec. 8069962.]). Moreover, we stress that 3 mm-thick CZT pixel detectors did not typically exceed a cathode bias voltage of 1000 V at room temperature (Iwanczyk et al., 2009[Iwanczyk, J., Nygård, E., Meirav, O., Arenson, J., Barber, W. C., Hartsough, N. E., Malakhov, N. & Wessel, J. C. (2009). IEEE Trans. Nucl. Sci. 56, 535-542.]; Jurdit et al., 2017[Jurdit, M., Brambilla, A., Moulin, V., Ouvrier-Buffet, P., Radisson, P. & Verger, L. (2017). J. Instrum. 12, T09008.]). An overview of the low-rate performance of the pixels of the arrays is presented in Figs. 3[link] and 4[link]. Despite the good room-temperature performance of the pixels of the large array, poor energy resolution characterizes the measured spectra of the pixels of the small array, as shown in Fig. 4[link]. This can be attributed to the charge-sharing effects that are more severe for small pixels and when the gap-area-to-pixel area ratio is increased. The room-temperature energy resolution values are reported in Table 1[link].

Table 1
Energy resolution FWHM at different energies with a bias voltage of 1800 V at T = 20°C

The Fano noise was calculated using a Fano factor F = 0.1 (Devanathan et al., 2006[Devanathan, R., Corrales, L. R., Gao, F. & Weber, W. J. (2006). Nucl. Instrum. Methods Phys. Res. A, 565, 637-649.]; Kuvvetli & Budtz-Jorgensen, 2005[Kuvvetli, I. & Budtz-Jorgensen, C. (2005). IEEE Trans. Nucl. Sci. 52, 1975-1981.]; Owens & Peacock, 2004[Owens, A. & Peacock, A. (2004). Nucl. Instrum. Methods Phys. Res. A, 531, 18-37.]).

Array Pixel Energy resolution at 22.1 keV (keV) Fano noise: 0.2 keV Energy resolution at 59.5 keV (keV) Fano noise: 0.4 keV Energy resolution at 122.1 keV (keV) Fano noise: 0.6 keV
Array 3 (500 µm) Best pixel (No. 3) 1.6 (7.3%) 1.7 (2.8%) 2.0 (1.6%)
Array 3 (500 µm) Sum of all spectra 1.7 (7.8%) 1.8 (3%) 2.3 (1.9%)
[Figure 2]
Figure 2
Uncollimated 57Co energy spectra of a selected pixel of the large array (array 3: 500 µm pixel pitch) at different cathode bias voltages. The best performance is obtained using a bias voltage of 1800 V, giving an energy resolution of 1.6% FWHM at 122.1 keV.
[Figure 3]
Figure 3
Overview of the measured uncollimated (a) 241Am and (b) 57Co energy spectra of all nine pixels of large array 3 (500 µm) under low-rate conditions (ICR < 600 counts s−1). The energy resolution (FWHM) of the best pixel (pixel 3) is 2.8% (1.7 keV) and 1.6% (2 keV) at 59.5 keV and 122.1 keV, respectively.
[Figure 4]
Figure 4
Uncollimated 241Am energy spectra for the pixels of the small array (pixel pitch of 250 µm) at low-rate conditions (<200 counts s−1). The poor energy resolution of the measured spectra is caused by charge-sharing effects.

5. Charge-sharing measurements

Charge-sharing effects were also investigated. The shared events were analysed by detecting the events of a pixel which are in temporal coincidence – within a coincidence time window (CTW) – with the neighbouring pixels. This technique is generally termed time coincidence analysis (TCA). Aside from the charge-shared events, typically referred to as the splitting of the electron charge cloud generated from a single photon and collected by several pixels, cross-talk events can also be detected. These events are mainly created by K-shell fluorescence X-rays that can interact far from the interaction point below the collecting pixel (Xu et al., 2011[Xu, C., Danielsson, M. & Bornefalk, H. (2011). IEEE Trans. Nucl. Sci. 58, 614-625.]). Cross-talk events can be also produced by induced-charge pulses (Guerra et al., 2008[Guerra, P., Santos, A. & Darambara, D. G. (2008). Phys. Med. Biol. 53, 1099-1113.]; Brambilla et al., 2012[Brambilla, A., Ouvrier-Buffet, P., Rinkel, J., Gonon, G., Boudou, C. & Verger, L. (2012). IEEE Trans. Nucl. Sci. 59, 1552-1558.]; Bolotnikov et al., 2016[Bolotnikov, A. E., Camarda, G. S., Cui, Y., De Geronimo, G., Eger, J., Emerick, A., Fried, J., Hossain, A., Roy, U., Salwen, C., Soldner, S., Vernon, E., Yang, G. & James, R. B. (2016). Nucl. Instrum. Methods Phys. Res. A, 805, 41-54.]; Kim et al., 2011[Kim, J. C., Anderson, S. E., Kaye, W., Zhang, F., Zhu, Y., Kaye, S. J. & He, Z. (2011). Nucl. Instrum. Methods Phys. Res. A, 654, 233-243.]; Zhu et al., 2011[Zhu, Y., Anderson, S. E. & He, Z. (2011). IEEE Trans. Nucl. Sci. 58, 1400-1409.]). The induced-charge pulses (or transient pulses) are generated by movement of the electron cloud over a collecting pixel that will also induce a small signal on the surrounding non-collecting pixels (weighting potential cross-talk). A low number of these events were detected in our detectors, mainly in the 57Co spectra. This is due to the low investigated energies (4–136 keV) that produce very small induced-charge pulses, often below the detection energy threshold (4 keV). Concerning our detectors, TCA measurements highlighted a high number of coincidence events in each pixel. For example, with uniform 241Am source irradiation, the percentage of coincidence events of the central pixel with all eight adjacent pixels is 52% and 89% for the large and small arrays, respectively (detection energy threshold of 4 keV). These results stress that charge-sharing effects must be taken into account in sub-millimetre CZT pixel detectors; moreover, the high coincidence percentage for the small array justifies the poor spectroscopic performance of the pixels (Fig. 4[link]). As is well known, coincidence events can be rejected from the raw energy spectra using the charge-sharing discrimination (CSD) technique. Fig. 5[link] shows the results after CSD for the measured 241Am and 57Co spectra. After CSD, the low-energy background and the fluorescent X-ray events at 23.2 keV and 27.5 keV are removed and, concerning the 57Co spectrum, the Compton edge at 39.5 keV is also clearly visible. No improvements in energy resolution were obtained after CSD, due to the non-zero energy threshold used in the sharing detection (4 keV). The critical issue of CSD is the strong reduction of the events in the spectra. To recover the rejected events after CSD, the charge-sharing addition (CSA) technique is typically applied. This simple approach consists of summing the energies of the coincidence events (ECSA). However, as documented in the literature (Abbene et al., 2015[Abbene, L., Gerardi, G. & Principato, F. (2015). Nucl. Instrum. Methods Phys. Res. A, 777, 54-62.], 2018a[Abbene, L., Principato, F., Gerardi, G., Bettelli, M., Seller, P., Veale, M. C., Zambelli, N., Benassi, G. & Zappettini, A. (2018a). J. Synchrotron Rad. 25, 257-271.]; Allwork et al., 2012[Allwork, C., Kitou, D., Chaudhuri, S., Sellin, P. J., Seller, P., Veale, M. C., Tartoni, N. & Veeramani, P. (2012). IEEE Trans. Nucl. Sci. 59, 1563-1568.]; Brambilla et al., 2012[Brambilla, A., Ouvrier-Buffet, P., Rinkel, J., Gonon, G., Boudou, C. & Verger, L. (2012). IEEE Trans. Nucl. Sci. 59, 1552-1558.]; Bolotnikov et al., 1999[Bolotnikov, A. E., Cook, W. R., Harrison, F. A., Wong, A., Schindler, S. M. & Eichelberger, A. C. (1999). Nucl. Instrum. Methods Phys. Res. A, 432, 326-331.], 2002[Bolotnikov, A. E., Boggs, S. E., Hubert Chen, C. M., Cook, W. R., Harrison, F. A. & Schindler, S. M. (2002). Nucl. Instrum. Methods Phys. Res. A, 482, 395-407.]; Gaskin et al., 2003[Gaskin, J. A., Sharma, D. P. & Ramsey, B. D. (2003). Nucl. Instrum. Methods Phys. Res. A, 505, 122-125.]; Kalemci & Matteson, 2002[Kalemci, E. & Matteson, J. L. (2002). Nucl. Instrum. Methods Phys. Res. A, 478, 527-537.]; Kim et al., 2011[Kim, J. C., Anderson, S. E., Kaye, W., Zhang, F., Zhu, Y., Kaye, S. J. & He, Z. (2011). Nucl. Instrum. Methods Phys. Res. A, 654, 233-243.]; Kuvvetli & Budtz-Jorgensen, 2007[Kuvvetli, I. & Budtz-Jorgensen, C. (2007). IEEE Nucl. Sci. Symp. Conf. Rec. 3, 2252-2257.]), the presence of charge losses at the inter-pixel gap of CdTe/CZT pixel detectors can create energy distortions in the measured spectra after CSA. Concerning our detectors, we observed charge/energy losses in the summed energy spectra after CSA (i.e. the ECSA spectra). For example, as shown in Fig. 6[link], the main peak at 122.1 keV after CSA is characterized by an energy loss of about 4 keV. In order to exclude any ballistic deficit effect from the pulse processing, we estimated charge losses at different delay times (up to 10 µs), observing the same results. Charge losses after CSA are also present at other energies, showing a linear behaviour with the true photon energy. Generally, the interpretation of these charge losses is still debated. In recent years, several explanations have been proposed, such as (i) the non-zero energy threshold of the readout electronics (Kalemci & Matteson, 2002[Kalemci, E. & Matteson, J. L. (2002). Nucl. Instrum. Methods Phys. Res. A, 478, 527-537.]), (ii) the presence of electric field distortions at the inter-pixel gap (Bolotnikov et al., 1999[Bolotnikov, A. E., Cook, W. R., Harrison, F. A., Wong, A., Schindler, S. M. & Eichelberger, A. C. (1999). Nucl. Instrum. Methods Phys. Res. A, 432, 326-331.], 2002[Bolotnikov, A. E., Boggs, S. E., Hubert Chen, C. M., Cook, W. R., Harrison, F. A. & Schindler, S. M. (2002). Nucl. Instrum. Methods Phys. Res. A, 482, 395-407.]; Kuvvetli & Budtz-Jorgensen, 2007[Kuvvetli, I. & Budtz-Jorgensen, C. (2007). IEEE Nucl. Sci. Symp. Conf. Rec. 3, 2252-2257.]), (iii) the decreasing of weighting potential at the inter-pixel gap (Kim et al., 2014[Kim, J. C., Kaye, W. R. & He, Z. (2014). J. Korean Phys. Soc. 64, 1336-1345.]) and (iv) the simultaneous presence of both the collected and the induced-charge components in the shared pulses between adjacent pixels (Bolotnikov et al., 2016[Bolotnikov, A. E., Camarda, G. S., Cui, Y., De Geronimo, G., Eger, J., Emerick, A., Fried, J., Hossain, A., Roy, U., Salwen, C., Soldner, S., Vernon, E., Yang, G. & James, R. B. (2016). Nucl. Instrum. Methods Phys. Res. A, 805, 41-54.]; Kim et al., 2011[Kim, J. C., Anderson, S. E., Kaye, W., Zhang, F., Zhu, Y., Kaye, S. J. & He, Z. (2011). Nucl. Instrum. Methods Phys. Res. A, 654, 233-243.]).

[Figure 5]
Figure 5
Measured (a) 241Am and (b) 57Co spectra of the central pixel of the large array after CSD (black line). The raw spectra of the central pixel (red line) and the spectra of the coincidence events with all eight adjacent pixels (green line) are shown. Energy resolution (FWHM) did not improve after CSD (1.9 keV at 59.5 keV and 2.4 keV at 122.1 keV).
[Figure 6]
Figure 6
57Co spectrum of the summed energy of coincidence events among the central pixel and eight adjacent pixels, i.e. the coincidence spectrum after CSA or the ECSA spectrum. Charge losses after CSA are clearly visible.

6. Sub-pixel characterization with collimated synchrotron X-rays

To better understand the effects of charge sharing, a micro-beam characterization of the detectors was also carried out. Investigations on a sub-pixel level were performed using collimated synchrotron X-rays. Fig. 7[link] shows the spectroscopic response of the detectors to mono-energetic synchrotron X-rays. In particular, we irradiated the centre of the pixel of both arrays with collimated X-ray beams (10 µm × 10 µm) at energies below (25 keV) and above (40 keV) the K-shell absorption energy of the CZT material (26.7 keV, 9.7 keV and 31.8 keV for Cd, Zn and Te, respectively). The photopeaks of the energy spectra are clearly visible even for the pixels of the small array. This confirms that the poor energy spectra obtained with uncollimated beams (Fig. 4[link]) is mainly due to the photon interactions near the inter-pixel gaps which are strongly influenced by charge sharing. A microscale line scanning between the centres of two adjacent pixels (pixels 5 and 8) of the small array is presented. We used collimated (10 µm × 10 µm) synchrotron X-ray beams at 25 keV and 40 keV, with position steps of 10 µm. During the line scanning between two pixels, we acquired, at each beam position, the data from all nine pixels of the investigated array. Fig. 8[link] shows an overview of the variation of the photopeak centroid of the main peaks (25 keV and 40 keV) and the multiplicity m with changing beam position. At 25 keV, centroid variations are observed in a region of 50 µm centred in the middle of the inter-pixel region. Coincidence events (m > 1) were only detected at beam positions within 50 µm of the centre of the inter-pixel region. At the centre of the inter-pixel gap almost 100% of events were shared between the two pixels. At 40 keV, coincidence events were detected in a wider region, even for beam positions near the centre of the pixels. This is due to the propagation of fluorescent X-rays which increases the initial charge cloud and creates cross-talk events. The attenuation lengths of the Cd Kα and Cd Kβ X-rays are 116 µm and 161 µm, respectively (Abbene et al., 2018[Abbene, L., Principato, F., Gerardi, G., Bettelli, M., Seller, P., Veale, M. C., Zambelli, N., Benassi, G. & Zappettini, A. (2018a). J. Synchrotron Rad. 25, 257-271.]a; Allwork et al., 2012[Allwork, C., Kitou, D., Chaudhuri, S., Sellin, P. J., Seller, P., Veale, M. C., Tartoni, N. & Veeramani, P. (2012). IEEE Trans. Nucl. Sci. 59, 1563-1568.]).

[Figure 7]
Figure 7
Measured energy spectra to mono-energetic synchrotron X rays collimated (ϕ = 10 µm × 10 µm) at the centre of the central pixel of (a) large and (b) small arrays. Energy spectra at 25 keV and at 40 keV are presented. The energy resolution values (FWHM) are 1.8 keV and 2.0 keV for the large and small arrays, respectively.
[Figure 8]
Figure 8
Microscale line scanning (10 µm position steps) between the centres of two adjacent pixels (pixels 5 and 8) at energies below (25 keV) and above (40 keV) the K-shell absorption energy of CZT material. (a) and (c) Photopeak centroids and (b) and (d) multiplicity m at various beam positions. The jump discontinuities visible in the curves for peak centroid values around 6 keV are the result of the non-zero energy threshold (4 keV).

7. Charge-sharing correction

The presence of charge losses after CSA was also confirmed with collimated synchrotron X-ray beams. In particular, we presented the energy spectra at 25 keV for a collimated beam position at the centre of the inter-pixel gap, where charge sharing is more severe. Fig. 9[link](a) shows a 2D scatter plot of the energy ECSA of the coincidence events (m = 2) after CSA, between pixels 5 and 4, versus the charge-sharing ratio R, at the centre of the inter-pixel gap. The presence of charge losses at 25 keV allows us to exclude the detection energy threshold of the electronics as the possible cause of charge losses. As presented in previous works (Abbene et al., 2018[Abbene, L., Gerardi, G., Principato, F., Bettelli, M., Seller, P., Veale, M. C., Fox, O., Sawhney, K., Zambelli, N., Benassi, G. & Zappettini, A. (2018b). J. Synchrotron Rad. 25, 1078-1092.]b; Bugby et al., 2019[Bugby, S. L., Koch-Mehrin, K. A., Veale, M. C., Wilson, M. D. & Lees, J. E. (2019). Nucl. Instrum. Methods Phys. Res. A, 940, 142-151.]), the energy losses, clearly highlighted by the curvature of Fig. 9[link](a), can be recovered using a function which fits the experimental 2D scatter plot [Fig. 9[link](a)]. Different energy spectra of pixel 5 are presented in Fig. 9[link](b): the raw spectrum (black line), the energy spectrum after CSA (blue line) and after charge-sharing correction (CSC) with the fitting function (red line). This technique was applied for coincidence events with m = 2. A detailed description of this correction technique is reported in previous work (Abbene et al., 2018[Abbene, L., Gerardi, G., Principato, F., Bettelli, M., Seller, P., Veale, M. C., Fox, O., Sawhney, K., Zambelli, N., Benassi, G. & Zappettini, A. (2018b). J. Synchrotron Rad. 25, 1078-1092.]b). Energy spectra at 40 keV are also presented in Fig. 10[link]: the raw spectra at the centre on the inter-pixel gap and the spectra after CSC. The results are very impressive: charge sharing is correctly detected and the charge losses after CSA are fully recovered. As a comparison, the energy resolution of the central pixel at 25 keV is 1.8 keV [Fig. 7[link](a)] and 3.0 keV [Fig. 9[link](b)] at the centre of the pixel and at the centre of the inter-pixel gap (after CSC), respectively. Despite the low energy resolution obtained after CSC, we stress that the correction was applied at the centre of the inter-pixel gap where charge losses are more severe. In other photon positions, where charge losses are less severe, better recovering was obtained as shown with uncollimated radiation sources (Fig. 11[link]). In this case, the coincidence events with multiplicity m > 2 were also recovered. The effects of charge sharing are successfully mitigated and the corrected spectra after CSC show very low degradation of the energy resolution with a full recovery of the coincidence events. For example, the energy resolution (FWHM) at 122 keV is 1.9% and 2.3% for the raw and corrected spectra, respectively.

[Figure 9]
Figure 9
(a) 2D scatter plot of the energy ECSA of the coincidence events (m = 2) between pixels 5 and 4 for a photon interaction at the centre of the inter-pixel gap. The energy ECSA is plotted versus the charge-sharing ratio R, which provides information about the interaction position of the events. The red line represents the best fitting function used to correct charge losses after CSA. (b) The raw spectrum of pixel 5 (black line), the energy spectrum after CSA (blue line) and the spectrum after the proposed correction technique (red line) with the fitting function of Fig. 9[link](a). The energy resolution after CSC is equal to 3.0 keV.
[Figure 10]
Figure 10
Raw energy spectra (black lines) of the central pixel for the photon interaction at the centre of the inter-pixel gap for (a) the large and (b) the small arrays. The corrected spectra (red lines), i.e. after CSC, are also shown. The energy resolution FWHM after CSC is 3.0 keV for both arrays.
[Figure 11]
Figure 11
Raw energy spectra (black lines) of the central pixel to uncollimated (a) 241Am and (b) 57Co sources. The corrected spectra (red lines), i.e. after CSC, are also shown, with the full recovering of all coincidence events with low-energy resolution degradation.

8. High rate measurements

The spectroscopic response of the detectors was also measured at high-rate conditions. The aim was to investigate the presence of high-flux radiation polarization effects in the detectors (Abbene et al., 2016[Abbene, L., Gerardi, G., Turturici, A. A., Raso, G., Benassi, G., Bettelli, M., Zambelli, N., Zappettini, A. & Principato, F. (2016). Nucl. Instrum. Methods Phys. Res. A, 835, 1-12.]; Bale & Szeles, 2008[Bale, D. S. & Szeles, C. (2008). Phys. Rev. B, 77, 035205.]). Typically, high fluxes produce a charge build-up within the detectors which collapses the electric field and produces strong distortions in charge collection. This effect is mainly attributed to the poor charge transport properties of the holes (hole mobility-lifetime product μhτh < 10−5 cm2 V−1) and, therefore, a careful choice of both crystal and device properties (electrode contact, bias voltage, thickness) is necessary to mitigate these effects. Synchrotron X-ray spectra at 40 keV were measured at different rates (Fig. 12[link]) by irradiating a pixel area of 400 µm × 40 µm. The measured spectra show no energy shifts and low spectroscopic degradation up to 400 kcounts s−1; this can mainly be attributed to the high-rate ability of the digital electronics, which minimize both the baseline shift and the peak pile-up effects in the spectra. However, no polarization effects were observed up to the investigated fluence rate conditions (25 × 106 photons mm−2 s−1).

[Figure 12]
Figure 12
Measured synchrotron X-ray spectra of the central pixel of the large array at different ICRs.

9. Conclusions

New CZT pixel detectors with sub-millimetre pixelization (pixel pitches of 500 µm and 250 µm) were fabricated at IMEM/CNR of Parma, Italy. The detectors show good room-temperature performance at high bias voltage conditions (6000 V cm−1 electric field), with energy resolution values less than 2 keV up to 140 keV. Charge-sharing measurements, with uncollimated and collimated beams, highlighted high sharing percentages and the presence of charge losses near the inter-pixel gaps. CSC was successfully applied with the full recovery of charge losses. The absence of high-flux radiation-induced polarization effects was also observed up to photon fluence rates of 25 × 106 photons mm−2 s−1.

Acknowledgements

The authors would like to acknowledge the technical staff of the interconnect team who performed the bonding of detectors at the Rutherford Appleton Laboratory (RAL), Dr Andreas Schneider and Mr Paul Booker.

Funding information

This work was supported by the Italian Ministry for Education, University and Research (MIUR) (PRIN Project No. 2012WM9MEP), PON RI 2014-2020 and AVATAR X (project No. POC01_00111); further support was provided by the Science & Technology Facilities Council (UK) under the Centre for Instrumentation Sensors Managed Programme 2016–2017 and by the Diamond Light Source (proposal No. MT20545).

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